313131101013 has 12 divisors (see below), whose sum is σ = 452455044288. Its totient is φ = 208682729640.

The previous prime is 313131101009. The next prime is 313131101021. The reversal of 313131101013 is 310101131313.

It is not a de Polignac number, because 313131101013 - 2² = 313131101009 is a prime.

It is a super-2 number, since 2×313131101013² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313131101033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5917003 + ... + 5969688.

It is an arithmetic number, because the mean of its divisors is an integer number (37704587024).

Almost surely, 2^313131101013 is an apocalyptic number.

It is an amenable number.

313131101013 is a deficient number, since it is larger than the sum of its proper divisors (139323943275).

313131101013 is a wasteful number, since it uses less digits than its factorization.

313131101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11889624 (or 11889621 counting only the distinct ones).

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

Adding to 313131101013 its reverse (310101131313), we get a palindrome (623232232326).

The spelling of 313131101013 in words is "three hundred thirteen billion, one hundred thirty-one million, one hundred one thousand, thirteen".