Q:

Smallest prime number which when spelt out contains the letters P, R, I, M, E

So inspired by recent slew of questions based on prime numbers. 
What is the smallest prime number when written out (Using the Western numbering system and English) would you encounter the letters P, R, I, M, E in that order. There can be any number and type of letters between them.
For example - one million and three is the smallest prime number where the letters M, A, T, H occur in that order.
Use the short scale only (that is, "1,000,000,000" is "one billion", not "one thousand million" or "one milliard"); you also may not use the less-common terms such as "dozen", "score", or "myriad",  or Indian English terms such as "lakh" or "crore".
Disclaimer: I have not calculated this number myself due to its huge magnitude and lack of a list of primes that large
Hint below if you can't get started

 The first instance of the letter p in a number is one septillion

A:

First guess:

 1000000000000000035000061
 a.k.a. one sePtillion thiRty fIve Million and sixty onE

A:

 It is kind of cheating but how about the Standard way to render a Mersenne prime:

 two to the power of five minus one

