23rd vs twenty-third

23rd and twenty-third both are adjectives.

Word	Noun	Adjective	Verb	Adverb
23rd	No	Yes	No	No
twenty-third	No	Yes	No	No

As adjectives, 23rd and twenty-third are synonyms defined as:

23rd (adjective)	twenty-third (adjective)
coming next after the twenty-second in position	coming next after the twenty-second in position