131000002123313 has 32 divisors (see below), whose sum is σ = 139576341542400. Its totient is φ = 122696631287296.

The previous prime is 131000002123261. The next prime is 131000002123337. The reversal of 131000002123313 is 313321200000131.

It is a cyclic number.

It is not a de Polignac number, because 131000002123313 - 2⁸ = 131000002123057 is a prime.

It is a super-2 number, since 2×131000002123313² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131000002123343) 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 31 ways as a sum of consecutive naturals, for example, 91245095 + ... + 92669667.

It is an arithmetic number, because the mean of its divisors is an integer number (4361760673200).

Almost surely, 2^{131000002123313} is an apocalyptic number.

It is an amenable number.

131000002123313 is a deficient number, since it is larger than the sum of its proper divisors (8576339419087).

131000002123313 is a wasteful number, since it uses less digits than its factorization.

131000002123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425121.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131000002123313 its reverse (313321200000131), we get a palindrome (444321202123444).

The spelling of 131000002123313 in words is "one hundred thirty-one trillion, two million, one hundred twenty-three thousand, three hundred thirteen".