Bots have the Shining. They know you are there even when their back is turned. They can do a 180 and 3 shot you dead in a flash. You can run past enemy turrets if you don't shoot at them. Just like the Bots, getting their attention only makes them angry.
They don't have any better vision than human players, but they can use their abilities more effectively than humanly possible. Mostly that they react with more precision than humans, and have infinite turning speed without compromising on precision the way humans with high sensitivity do.
If you show up on radar (run without Silent Running, or shoot without a Silencer), they'll turn to face your direction. If you're in a position where there's only one level you could possibly be at, the bot will be aiming the right height already, otehrwise they'll aim in the middle of the possible options, and just snap to the right height when you come into view. If you line up on them without showing up on the radar, Combat intuition will kick in and they'll instantly shoot you. If you manage to get a shot off before they have time for any of this to happen (pro tip: deliberately break radar invisibility before taking the shot, and make sure you're outside radar range), then the damage indicator works like CI does to give direction - and the bots can read CI and damage indicators better than humanly possible as well...