With your CRR of 1,141,434 and ST ranking of 33,888, your chances of getting into a NIT (National Institute of Technology) are likely low. While some newer NITs might accept students with higher ranks, getting into a top-tier NIT or even many of the well-established ones is highly competitive.

Elaboration:

Top-tier NITs:

These institutions are generally very selective and prefer candidates with strong ranks. Your CRR would likely be outside the range for these colleges.

Reservation:

While the ST category provides reservation, your rank within that category is still relatively high.

Newer NITs:

Some newer NITs may have a wider range of accepted ranks, but they are still highly competitive.

Factors influencing admission:

Besides rank, other factors like the program you are applying for and the specific NIT can affect your chances.

Alternative Options:

If you are not able to get into an NIT, consider applying to other government-funded engineering institutes or private engineering colleges. You might also explore the possibility of pursuing a degree in a different field if you're open to other options.

Recommendations:

Check JoSAA Cutoffs:

The Joint Seat Allocation Authority (JoSAA) releases cutoffs for each NIT and program after each round of counseling. This will give you a clearer picture of the actual rank range for admission.

Explore Alternative Colleges:

Don't limit yourself to NITs. Many other government and private engineering colleges can offer quality education.

Prepare for Future Attempts:

If you are not successful this year, consider improving your JEE Main score for a future attempt.

You can use JEE predictor tool to know your accurate chances