321131130313 has 48 divisors (see below), whose sum is σ = 408145533264. Its totient is φ = 250896629760.

The previous prime is 321131130293. The next prime is 321131130349. The reversal of 321131130313 is 313031131123.

It can be written as a sum of positive squares in 8 ways, for example, as 506790144 + 320624340169 = 22512^2 + 566237^2 .

It is a de Polignac number, because none of the positive numbers 2^k-321131130313 is a prime.

It is a super-2 number, since 2×321131130313² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (321131130373) 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, 4644645 + ... + 4713277.

It is an arithmetic number, because the mean of its divisors is an integer number (8503031943).

Almost surely, 2^321131130313 is an apocalyptic number.

It is an amenable number.

321131130313 is a deficient number, since it is larger than the sum of its proper divisors (87014402951).

321131130313 is a wasteful number, since it uses less digits than its factorization.

321131130313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68842 (or 68835 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 321131130313 its reverse (313031131123), we get a palindrome (634162261436).

The spelling of 321131130313 in words is "three hundred twenty-one billion, one hundred thirty-one million, one hundred thirty thousand, three hundred thirteen".