321313132313 has 8 divisors (see below), whose sum is σ = 340610902632. Its totient is φ = 302059472896.

The previous prime is 321313132289. The next prime is 321313132321. The reversal of 321313132313 is 313231313123.

It can be written as a sum of positive squares in 4 ways, for example, as 67979089984 + 253334042329 = 260728^2 + 503323^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 321313132313 - 2¹⁶ = 321313066777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321313132333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11012720 + ... + 11041857.

It is an arithmetic number, because the mean of its divisors is an integer number (42576362829).

Almost surely, 2^321313132313 is an apocalyptic number.

It is an amenable number.

321313132313 is a deficient number, since it is larger than the sum of its proper divisors (19297770319).

321313132313 is a wasteful number, since it uses less digits than its factorization.

321313132313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22055451.

The product of its digits is 2916, while the sum is 26.

Adding to 321313132313 its reverse (313231313123), we get a palindrome (634544445436).

The spelling of 321313132313 in words is "three hundred twenty-one billion, three hundred thirteen million, one hundred thirty-two thousand, three hundred thirteen".