I think he's probably put up in whichever room of the hotel he chooses, and he probably makes it very worthwhile for whoever is in that room to move.
Fifty-thirteen is "a whole bunch." It comes in handy when you're too lazy to go back and count.
"It's good to be king"
I for one would be extremely joyful and full of glee if Mr. Marriott would offer me fifty-thirteen to relinquish my room.