At 113 marks you will score somewhere about 95+ percentile which means you will get about 50k rank so on the general category basis you don't have any chance to get any seat in nit trichy  but since you are from st category and home state so you might get an advantage and might get some seat in lower or less preferred branches I would say like production and metallurgical but the final things needs to be waited for moreover you can participate in csab where you may get a seat in some or the other branch but that is also not a confirmation at a last you can predict your college at this link https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer