You are incapable of being slain by deities and Danavas, Gandharvas, Yaksas, Raksasas and serpents. But you have not asked for immunity from men.
देवदानवगन्धर्यक्षराक्षसपनगैः। अवध्यत्वं मया प्रोक्तं मानुषेभ्यो न याचितम्॥