3131120123313 has 32 divisors (see below), whose sum is σ = 5138523645696. Its totient is φ = 1651491376128.

The previous prime is 3131120123311. The next prime is 3131120123347. The reversal of 3131120123313 is 3133210211313.

It is not a de Polignac number, because 3131120123313 - 2¹ = 3131120123311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3131120123311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4963981 + ... + 5559077.

It is an arithmetic number, because the mean of its divisors is an integer number (160578863928).

Almost surely, 2^{3131120123313} is an apocalyptic number.

It is an amenable number.

3131120123313 is a deficient number, since it is larger than the sum of its proper divisors (2007403522383).

3131120123313 is a wasteful number, since it uses less digits than its factorization.

3131120123313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614393.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 3131120123313 its reverse (3133210211313), we get a palindrome (6264330334626).

The spelling of 3131120123313 in words is "three trillion, one hundred thirty-one billion, one hundred twenty million, one hundred twenty-three thousand, three hundred thirteen".