Rural Economy Vital Investment Visa Encouragement Act of 2013 or REVIVE Act of 2013 - Amends the Immigration and Nationality Act to obligate at least 3,000 employment creation immigrant visas each fiscal year for qualified immigrants who: (1) have treaty investor nonimmigrant status and have been present in the United States for two years continuously, and (2) invest in a commercial enterprise which will create full time rural employment for at least five U.S. citizens or lawful permanent resident aliens or other immigrants lawfully authorized to be employed in the United States.