3131313113031 has 32 divisors (see below), whose sum is σ = 4226242003200. Its totient is φ = 2062081165824.

The previous prime is 3131313113011. The next prime is 3131313113053. The reversal of 3131313113031 is 1303113131313.

3131313113031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3131313113031 - 2⁷ = 3131313112903 is a prime.

It is a super-2 number, since 2×3131313113031² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3131313112992 and 3131313113010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131313113011) 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, 291740941 + ... + 291751673.

It is an arithmetic number, because the mean of its divisors is an integer number (132070062600).

Almost surely, 2^{3131313113031} is an apocalyptic number.

3131313113031 is a deficient number, since it is larger than the sum of its proper divisors (1094928890169).

3131313113031 is a wasteful number, since it uses less digits than its factorization.

3131313113031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13375.

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 3131313113031 its reverse (1303113131313), we get a palindrome (4434426244344).

The spelling of 3131313113031 in words is "three trillion, one hundred thirty-one billion, three hundred thirteen million, one hundred thirteen thousand, thirty-one".