131231003123313 has 24 divisors (see below), whose sum is σ = 199699772419680. Its totient is φ = 82813264470720.

The previous prime is 131231003123291. The next prime is 131231003123323. The reversal of 131231003123313 is 313321300132131.

131231003123313 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 10 + 0 + 312 + 331 + 3 = 666.

It is not a de Polignac number, because 131231003123313 - 2⁶ = 131231003123249 is a prime.

It is a super-2 number, since 2×131231003123313² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131231003123323) 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, 321435883 + ... + 321843888.

It is an arithmetic number, because the mean of its divisors is an integer number (8320823850820).

Almost surely, 2^{131231003123313} is an apocalyptic number.

It is an amenable number.

131231003123313 is a deficient number, since it is larger than the sum of its proper divisors (68468769296367).

131231003123313 is a wasteful number, since it uses less digits than its factorization.

131231003123313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643280989 (or 643280986 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131231003123313 its reverse (313321300132131), we get a palindrome (444552303255444).

The spelling of 131231003123313 in words is "one hundred thirty-one trillion, two hundred thirty-one billion, three million, one hundred twenty-three thousand, three hundred thirteen".