Hello Aspirant,

Hope you are doing well, As you've mentioned that your engineering ranking  in kcet 2021 is 113409, with this rank your chances of getting your desired branch  in top engineering colleges are very low, Wait & try for all rounds, you can get seat in some good college. Here are the Govt colleges where you have good chances of getting engineering seat through kcet:

Dr Ambedkar Institute of Technology, Bangalore - B.Tech Mechanical Engineering

University BDT College of Engineering, Davangere - BE industrial & Production Engineering

Government Engineering College, Hassan - BE Mechanical Engineering

Government Engineering College, Mandya - BE Electronics & Communication engineering ,BE Civil Engineering

Government Engineering College, Raichur - BE Electronics & Communication engineering ,BE Civil Engineering

Government Engineering College, Chamarajanagar -  BE Electronics & Communication engineering ,BE Civil Engineering

Also you can predict your college for KCET 2021 by following link:

All the best!

Hope this helps you