3131100031011 has 32 divisors (see below), whose sum is σ = 4401680693760. Its totient is φ = 1975854296064.

The previous prime is 3131100030931. The next prime is 3131100031051. The reversal of 3131100031011 is 1101300011313.

It is not a de Polignac number, because 3131100031011 - 2²⁵ = 3131066476579 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3131100031051) 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 31 ways as a sum of consecutive naturals, for example, 88524016 + ... + 88559378.

It is an arithmetic number, because the mean of its divisors is an integer number (137552521680).

Almost surely, 2^{3131100031011} is an apocalyptic number.

3131100031011 is a deficient number, since it is larger than the sum of its proper divisors (1270580662749).

3131100031011 is a wasteful number, since it uses less digits than its factorization.

3131100031011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48715.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 3131100031011 its reverse (1101300011313), we get a palindrome (4232400042324).

The spelling of 3131100031011 in words is "three trillion, one hundred thirty-one billion, one hundred million, thirty-one thousand, eleven".