321313231003213 has 2 divisors, whose sum is σ = 321313231003214. Its totient is φ = 321313231003212.

The previous prime is 321313231003211. The next prime is 321313231003217. The reversal of 321313231003213 is 312300132313123.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 321298347491209 + 14883512004 = 17924797^2 + 121998^2 .

It is a cyclic number.

It is not a de Polignac number, because 321313231003213 - 2¹ = 321313231003211 is a prime.

Together with 321313231003211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (321313231003211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160656615501606 + 160656615501607.

It is an arithmetic number, because the mean of its divisors is an integer number (160656615501607).

Almost surely, 2^{321313231003213} is an apocalyptic number.

It is an amenable number.

321313231003213 is a deficient number, since it is larger than the sum of its proper divisors (1).

321313231003213 is an equidigital number, since it uses as much as digits as its factorization.

321313231003213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 321313231003213 its reverse (312300132313123), we get a palindrome (633613363316336).

The spelling of 321313231003213 in words is "three hundred twenty-one trillion, three hundred thirteen billion, two hundred thirty-one million, three thousand, two hundred thirteen".