2013 Corolla have replaced front pads, rotors, pistons, bled fluid, still rotors overheating causing 'judder' when braking?
Why would you replace the caliper pistons on a 2013MY vehicle? In any case, from my experience brake judder usually comes from different brand rotors and pads which may or may not subside as time goes on and the two wear together. Other than that its cheap rotors with too much of a wave cast/ground into the face. I also just noticed you say your rotors are overheating, are you racing your Corolla? If not I cant see why your rotors would overheat, unless you drive and brake very aggressively everyday.