Hello Aspirant,
According to analysis of previous year eligibility criteria it's bit difficult to get a seat in top NITs by this score.Your Predicted Rank is 113620.
Above is the possible rank you can get. The predicted rank may vary due to JEE Main tie breaker rules for same score.

As per your score and previous year cutoff, the colleges you may easily get are:-

Netaji subhas engineering college

IIIT Pune

National institute of science and technology, Odisha,etc
And other top institutes too.
Since cutoffs vary every year I would suggest you college predictor tool which will definitely help you sort colleges:
http://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Good luck!

Hello, you have not mentioned in which category you belong to
And at this rank it looks difficult to get top Nit, this also depends on cutoff which changes every year so,
Apply for Jossa counseling and then for Csab counseling.
Wait till spot round of counseling.
May be if you get any top Nit branches would be lower like civil, mechanical ,production, biotechnology , Metallurgy .
If you have any home state quota in any of the top Nit may be some chances can be there.

Refer to this link it will help you.

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

All the best. Hope this will help you.

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