2131302120031 has 16 divisors (see below), whose sum is σ = 2602715734080. Its totient is φ = 1703595732480.

The previous prime is 2131302120007. The next prime is 2131302120043. The reversal of 2131302120031 is 1300212031312.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2131302120031 is a prime.

It is a super-2 number, since 2×2131302120031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2131302119990 and 2131302120008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131302120061) 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 15 ways as a sum of consecutive naturals, for example, 82143460 + ... + 82169401.

It is an arithmetic number, because the mean of its divisors is an integer number (162669733380).

Almost surely, 2^{2131302120031} is an apocalyptic number.

2131302120031 is a deficient number, since it is larger than the sum of its proper divisors (471413614049).

2131302120031 is a wasteful number, since it uses less digits than its factorization.

2131302120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164312994.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2131302120031 its reverse (1300212031312), we get a palindrome (3431514151343).

The spelling of 2131302120031 in words is "two trillion, one hundred thirty-one billion, three hundred two million, one hundred twenty thousand, thirty-one".