Pr2Mn4Co13 crystallizes in the trigonal R3m space group. There are two inequivalent Pr sites. In the first Pr site, Pr(1) is bonded in a 19-coordinate geometry to three equivalent Mn(1), one Co(4), three equivalent Co(2), six equivalent Co(1), and six equivalent Co(3) atoms. In the second Pr site, Pr(2) is bonded in a 19-coordinate geometry to one Mn(2), three equivalent Mn(1), three equivalent Co(3), six equivalent Co(1), and six equivalent Co(2) atoms. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a 9-coordinate geometry to one Pr(1), one Pr(2), one Mn(2), one Co(4), two equivalent Co(2), two equivalent Co(3), and four equivalent Co(1) atoms. In the second Mn site, Mn(2) is bonded in a 14-coordinate geometry to one Pr(2), three equivalent Mn(1), one Co(4), three equivalent Co(2), and six equivalent Co(1) atoms. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded in a 12-coordinate geometry to one Pr(1), one Pr(2), one Mn(2), two equivalent Mn(1), one Co(4), two equivalent Co(1), two equivalent Co(2), and two equivalent Co(3) atoms. In the second Co site, Co(2) is bonded to one Pr(1), two equivalent Pr(2), one Mn(2), two equivalent Mn(1), two equivalent Co(3), and four equivalent Co(1) atoms to form distorted CoPr3Mn3Co6 cuboctahedra that share corners with two equivalent Co(2)Pr3Mn3Co6 cuboctahedra, corners with eight equivalent Co(3)Pr3Mn2Co7 cuboctahedra,  an edgeedge with one Co(3)Pr3Mn2Co7 cuboctahedra, edges with four equivalent Co(2)Pr3Mn3Co6 cuboctahedra, faces with three equivalent Co(3)Pr3Mn2Co7 cuboctahedra, and faces with four equivalent Co(2)Pr3Mn3Co6 cuboctahedra. In the third Co site, Co(3) is bonded to one Pr(2), two equivalent Pr(1), two equivalent Mn(1), one Co(4), two equivalent Co(2), and four equivalent Co(1) atoms to form distorted CoPr3Mn2Co7 cuboctahedra that share corners with two equivalent Co(3)Pr3Mn2Co7 cuboctahedra, corners with eight equivalent Co(2)Pr3Mn3Co6 cuboctahedra,  an edgeedge with one Co(2)Pr3Mn3Co6 cuboctahedra, edges with four equivalent Co(3)Pr3Mn2Co7 cuboctahedra, faces with three equivalent Co(2)Pr3Mn3Co6 cuboctahedra, and faces with four equivalent Co(3)Pr3Mn2Co7 cuboctahedra. In the fourth Co site, Co(4) is bonded in a 14-coordinate geometry to one Pr(1), one Mn(2), three equivalent Mn(1), three equivalent Co(3), and six equivalent Co(1) atoms.
Pr2Mn4Co13 crystallizes in the trigonal R3m space group. There are two inequivalent Pr sites. In the first Pr site, Pr(1) is bonded in a 19-coordinate geometry to three equivalent Mn(1), one Co(4), three equivalent Co(2), six equivalent Co(1), and six equivalent Co(3) atoms. All Pr(1)-Mn(1) bond lengths are 3.23 Å. The Pr(1)-Co(4) bond length is 3.03 Å. All Pr(1)-Co(2) bond lengths are 3.08 Å. All Pr(1)-Co(1) bond lengths are 3.06 Å. There are three shorter (3.20 Å) and three longer (3.22 Å) Pr(1)-Co(3) bond lengths. In the second Pr site, Pr(2) is bonded in a 19-coordinate geometry to one Mn(2), three equivalent Mn(1), three equivalent Co(3), six equivalent Co(1), and six equivalent Co(2) atoms. The Pr(2)-Mn(2) bond length is 3.08 Å. All Pr(2)-Mn(1) bond lengths are 3.33 Å. All Pr(2)-Co(3) bond lengths are 3.07 Å. All Pr(2)-Co(1) bond lengths are 3.06 Å. All Pr(2)-Co(2) bond lengths are 3.21 Å. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a 9-coordinate geometry to one Pr(1), one Pr(2), one Mn(2), one Co(4), two equivalent Co(2), two equivalent Co(3), and four equivalent Co(1) atoms. The Mn(1)-Mn(2) bond length is 2.66 Å. The Mn(1)-Co(4) bond length is 2.55 Å. Both Mn(1)-Co(2) bond lengths are 2.48 Å. Both Mn(1)-Co(3) bond lengths are 2.44 Å. There are two shorter (2.42 Å) and two longer (2.43 Å) Mn(1)-Co(1) bond lengths. In the second Mn site, Mn(2) is bonded in a 14-coordinate geometry to one Pr(2), three equivalent Mn(1), one Co(4), three equivalent Co(2), and six equivalent Co(1) atoms. The Mn(2)-Co(4) bond length is 2.37 Å. All Mn(2)-Co(2) bond lengths are 2.65 Å. All Mn(2)-Co(1) bond lengths are 2.69 Å. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded in a 12-coordinate geometry to one Pr(1), one Pr(2), one Mn(2), two equivalent Mn(1), one Co(4), two equivalent Co(1), two equivalent Co(2), and two equivalent Co(3) atoms. The Co(1)-Co(4) bond length is 2.70 Å. Both Co(1)-Co(1) bond lengths are 2.42 Å. There is one shorter (2.52 Å) and one longer (2.68 Å) Co(1)-Co(2) bond length. There is one shorter (2.51 Å) and one longer (2.69 Å) Co(1)-Co(3) bond length. In the second Co site, Co(2) is bonded to one Pr(1), two equivalent Pr(2), one Mn(2), two equivalent Mn(1), two equivalent Co(3), and four equivalent Co(1) atoms to form distorted CoPr3Mn3Co6 cuboctahedra that share corners with two equivalent Co(2)Pr3Mn3Co6 cuboctahedra, corners with eight equivalent Co(3)Pr3Mn2Co7 cuboctahedra,  an edgeedge with one Co(3)Pr3Mn2Co7 cuboctahedra, edges with four equivalent Co(2)Pr3Mn3Co6 cuboctahedra, faces with three equivalent Co(3)Pr3Mn2Co7 cuboctahedra, and faces with four equivalent Co(2)Pr3Mn3Co6 cuboctahedra. Both Co(2)-Co(3) bond lengths are 2.46 Å. In the third Co site, Co(3) is bonded to one Pr(2), two equivalent Pr(1), two equivalent Mn(1), one Co(4), two equivalent Co(2), and four equivalent Co(1) atoms to form distorted CoPr3Mn2Co7 cuboctahedra that share corners with two equivalent Co(3)Pr3Mn2Co7 cuboctahedra, corners with eight equivalent Co(2)Pr3Mn3Co6 cuboctahedra,  an edgeedge with one Co(2)Pr3Mn3Co6 cuboctahedra, edges with four equivalent Co(3)Pr3Mn2Co7 cuboctahedra, faces with three equivalent Co(2)Pr3Mn3Co6 cuboctahedra, and faces with four equivalent Co(3)Pr3Mn2Co7 cuboctahedra. The Co(3)-Co(4) bond length is 2.65 Å. In the fourth Co site, Co(4) is bonded in a 14-coordinate geometry to one Pr(1), one Mn(2), three equivalent Mn(1), three equivalent Co(3), and six equivalent Co(1) atoms.