Members of Trinity have won 32 Nobel Prizes out of the 98 won by members of Cambridge University, the highest number of any college at either Oxford or Cambridge. Five Fields Medals in mathematics were won by members of the college (of the six awarded to members of British universities) and one Abel Prize was won.
Trinity alumni include six British prime ministers (all Tory or Whig/Liberal), physicists Isaac Newton, James Clerk Maxwell, Ernest Rutherford and Niels Bohr, mathematician Srinivasa Ramanujan, the poet Lord Byron, philosophers Ludwig Wittgenstein and Bertrand Russell (whom it expelled before reaccepting), and Soviet spies Kim Philby, Guy Burgess, and Anthony Blunt.
Two members of the British royal family have studied at Trinity and been awarded degrees as a result: Prince William of Gloucester and Edinburgh, who gained an MA in 1790, and Prince Charles, who was awarded a lower second class BA in 1970. Other royal family members have studied there without obtaining degrees, including King Edward VII, King George VI, and Prince Henry, Duke of Gloucester.
Trinity has many college societies, including the Trinity Mathematical Society, which is the oldest mathematical university society in the United Kingdom, and the First and Third Trinity Boat Club, its rowing club, which gives its name to the college's May Ball. Along with Christ's, Jesus, King's and St John's colleges, it has also provided several of the well known members of the Apostles, an intellectual secret society.
Trinity's sister college in Oxford is Christ Church. Like that college, Trinity has been linked with Westminster School since the school's re-foundation in 1560, and its Master is an ex officio governor of the school.