2131000022313 has 48 divisors (see below), whose sum is σ = 3290412378240. Its totient is φ = 1324289253888.

The previous prime is 2131000022311. The next prime is 2131000022351. The reversal of 2131000022313 is 3132200001312.

2131000022313 is a `hidden beast` number, since 21 + 310 + 0 + 0 + 0 + 22 + 313 = 666.

It is not a de Polignac number, because 2131000022313 - 2¹ = 2131000022311 is a prime.

It is a super-2 number, since 2×2131000022313² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2131000022311) 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 47 ways as a sum of consecutive naturals, for example, 83102748 + ... + 83128386.

It is an arithmetic number, because the mean of its divisors is an integer number (68550257880).

Almost surely, 2^{2131000022313} is an apocalyptic number.

It is an amenable number.

2131000022313 is a deficient number, since it is larger than the sum of its proper divisors (1159412355927).

2131000022313 is a wasteful number, since it uses less digits than its factorization.

2131000022313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30846 (or 30843 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2131000022313 its reverse (3132200001312), we get a palindrome (5263200023625).

The spelling of 2131000022313 in words is "two trillion, one hundred thirty-one billion, twenty-two thousand, three hundred thirteen".