My positive score in JEE Advanced is 65. What is my rank? Can I get into any IITs?

Hello Aspirant!!
It's sad that with this much marks you will not be able to get admission in any IIT.
As different criteria has already been declared for JEE Advance, regarding minimum marks for different categories like,
For General/CRL Category (123 Marks out of 372), OBC, SCs, STs, PwD (63 Marks out of 372).

If you lies in General Category, then Sorry there is no chance for an IIT college. If you are in others, then you can get the college but not with the interested stream.

But Don't Lose Hope, You still have a lot of chance for getting good NITs, IIITs and Top Private Colleges too.
Take part in the counsellings and admit in JoSAA counselling also, through this you can get Better college after total round of counsellings.

One of my friend was there, who got 92%ile in JEE Mains and was damn upset but after taking counselling through JoSAA, in 3rd Round she got BITS Mesra and now placed successfully too with the package of 15 Lacs p.a.
So, You also have a lot of chance for the better college and try to take part in all counsellings, it will be better for you.

You can get many different colleges but try to pursue your career with your interested stream only otherwise you will lose the interest soon in that.

If you have an idea for startups and want to be an entrepreneur, it is really good because it has a lot of scope in future generations.
But if you want to get placed with the motive of placements, then Take in the Consideration the most and Search for better colleges. It will really help you for your future scope too.

Don't Lose Hope and All The Best for your Future!!
Refer to this also, if you are want to search for better colleges according to your Marks in JEE Mains:
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Hope that it helped you.