313201132131321 has 48 divisors (see below), whose sum is σ = 520744310156928. Its totient is φ = 177690992371200.

The previous prime is 313201132131311. The next prime is 313201132131337. The reversal of 313201132131321 is 123131231102313.

313201132131321 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 0 + 1 + 1 + 321 + 313 + 21 = 666.

It is not a de Polignac number, because 313201132131321 - 2⁵ = 313201132131289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313201132131311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26135166 + ... + 36186311.

It is an arithmetic number, because the mean of its divisors is an integer number (10848839794936).

Almost surely, 2^{313201132131321} is an apocalyptic number.

It is an amenable number.

313201132131321 is a deficient number, since it is larger than the sum of its proper divisors (207543178025607).

313201132131321 is a wasteful number, since it uses less digits than its factorization.

313201132131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62322062 (or 62322059 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 313201132131321 its reverse (123131231102313), we get a palindrome (436332363233634).

The spelling of 313201132131321 in words is "three hundred thirteen trillion, two hundred one billion, one hundred thirty-two million, one hundred thirty-one thousand, three hundred twenty-one".