mutilate vs damage

mutilate is not a noun while damage is a noun.

Word	Noun	Adjective	Verb	Adverb
mutilate	No	No	Yes	No
damage	Yes	No	Yes	No

As verbs, damage is a hypernym of mutilate; that is, damage is a word with a broader meaning than mutilate:

mutilate (noun)	damage (noun)
	the act of damaging something or someone
	any harm or injury resulting from a violation of a legal right
	the occurrence of a change for the worse
	loss of military equipment
	the amount of money needed to purchase something

mutilate (verb)	damage (verb)
destroy or injure severely	inflict damage upon
damage or injure severely	suffer or be susceptible to damage
alter so as to make unrecognizable