Does the constitution mention titles of nobility and bribery of officials?

Yes, Article I, section 9, clause 8

No title of Nobility shall be granted in the United States:

And no person holding any office of profit or trust under them, shall,

without the consent of congress, accept any present, Emolument, Office, or title, of any kind whatever, from any king, prince, or foreign state.

* source: United State's constitution.