With all due respect, Tim lacks speed. If you think he runs the floor well, you have to check out some footage of DRob back in the day. That dude ran the floor like a gazelle.
Tim definitely has GREAT hands. He's also a decent dribbler, although I haven't seen him do crossovers like Shaq.
So to sum it up, Duncan's physical prowess is composed of height, footwork, balance, soft hands, timing, decent amount of strength, ball-handling, shooting ability (bankshot, etc), and passing. Weak points are lack of speed and hops.
But all those skills above are not what adds up to make him a great athlete. What makes him a great athlete is the combination of the physical with the mental and the emotional. He WANTS to win and he UNDERSTANDS how to win. You add all three together, the physical, the mental and the emotional, and you have a Champion.