31032013003131 has 64 divisors (see below), whose sum is σ = 48320361267200. Its totient is φ = 17707440754080.

The previous prime is 31032013003099. The next prime is 31032013003163. The reversal of 31032013003131 is 13130031023013.

It is an interprime number because it is at equal distance from previous prime (31032013003099) and next prime (31032013003163).

It is not a de Polignac number, because 31032013003131 - 2⁵ = 31032013003099 is a prime.

It is a super-2 number, since 2×31032013003131² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31032013003098 and 31032013003107.

It is not an unprimeable number, because it can be changed into a prime (31032013003231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3408982926 + ... + 3408992028.

It is an arithmetic number, because the mean of its divisors is an integer number (755005644800).

Almost surely, 2^{31032013003131} is an apocalyptic number.

31032013003131 is a deficient number, since it is larger than the sum of its proper divisors (17288348264069).

31032013003131 is an equidigital number, since it uses as much as digits as its factorization.

31032013003131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13461 (or 13447 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 31032013003131 its reverse (13130031023013), we get a palindrome (44162044026144).

The spelling of 31032013003131 in words is "thirty-one trillion, thirty-two billion, thirteen million, three thousand, one hundred thirty-one".