baker's dozen vs XIII

baker's dozen and XIII both are nouns.

Word	Noun	Adjective	Verb	Adverb
baker's dozen	Yes	No	No	No
XIII	Yes	No	No	No

As nouns, baker's dozen and XIII are synonyms defined as:

baker's dozen and XIII: the cardinal number that is the sum of twelve and one

Other synonyms of baker's dozen include 13, long dozen, thirteen.

baker's dozen (noun)	XIII (noun)
the cardinal number that is the sum of twelve and one	the cardinal number that is the sum of twelve and one