3131313011001 has 40 divisors (see below), whose sum is σ = 5400986976000. Its totient is φ = 1770875073792.

The previous prime is 3131313010957. The next prime is 3131313011033. The reversal of 3131313011001 is 1001103131313.

It is not a de Polignac number, because 3131313011001 - 2³⁴ = 3114133141817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3131313011201) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28412001 + ... + 28521998.

It is an arithmetic number, because the mean of its divisors is an integer number (135024674400).

Almost surely, 2^{3131313011001} is an apocalyptic number.

It is an amenable number.

3131313011001 is a deficient number, since it is larger than the sum of its proper divisors (2269673964999).

3131313011001 is an equidigital number, since it uses as much as digits as its factorization.

3131313011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56934115 (or 56934106 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 3131313011001 its reverse (1001103131313), we get a palindrome (4132416142314).

The spelling of 3131313011001 in words is "three trillion, one hundred thirty-one billion, three hundred thirteen million, eleven thousand, one".