321131444131123 has 16 divisors (see below), whose sum is σ = 335528015218560. Its totient is φ = 306957031920000.

The previous prime is 321131444131103. The next prime is 321131444131151.

321131444131123 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-321131444131123 is a prime.

It is a super-2 number, since 2×321131444131123² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321131444131103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23463286 + ... + 34536772.

It is an arithmetic number, because the mean of its divisors is an integer number (20970500951160).

Almost surely, 2^{321131444131123} is an apocalyptic number.

321131444131123 is a deficient number, since it is larger than the sum of its proper divisors (14396571087437).

321131444131123 is a wasteful number, since it uses less digits than its factorization.

321131444131123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11083518.

The product of its digits is 20736, while the sum is 34.

The spelling of 321131444131123 in words is "three hundred twenty-one trillion, one hundred thirty-one billion, four hundred forty-four million, one hundred thirty-one thousand, one hundred twenty-three".