31130323122033 has 24 divisors (see below), whose sum is σ = 44992934936040. Its totient is φ = 20741128911360.

The previous prime is 31130323122013. The next prime is 31130323122053. The reversal of 31130323122033 is 33022132303113.

31130323122033 is a `hidden beast` number, since 3 + 1 + 130 + 323 + 1 + 2 + 203 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (31130323122013) and next prime (31130323122053).

It can be written as a sum of positive squares in 4 ways, for example, as 77867786304 + 31052455335729 = 279048^2 + 5572473^2 .

It is not a de Polignac number, because 31130323122033 - 2²⁰ = 31130322073457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31130323121988 and 31130323122006.

It is not an unprimeable number, because it can be changed into a prime (31130323122013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331801033 + ... + 331894841.

It is an arithmetic number, because the mean of its divisors is an integer number (1874705622335).

Almost surely, 2^{31130323122033} is an apocalyptic number.

It is an amenable number.

31130323122033 is a deficient number, since it is larger than the sum of its proper divisors (13862611814007).

31130323122033 is a wasteful number, since it uses less digits than its factorization.

31130323122033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115489 (or 115486 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 31130323122033 its reverse (33022132303113), we get a palindrome (64152455425146).

The spelling of 31130323122033 in words is "thirty-one trillion, one hundred thirty billion, three hundred twenty-three million, one hundred twenty-two thousand, thirty-three".