General fact: 1307 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Mathematical fact: 1307 is a number n for which n^{2}+1 is 7 times another square.
Trivia: 1307 is a boring number.
Historical date: July 30th is the day in 1965 that U.S. President Lyndon B. Johnson signs the Social Security Act of 1965 into law, establishing Medicare and Medicaid.