321431121134123 has 192 divisors, whose sum is σ = 449372918292480. Its totient is φ = 223616840832000.

The previous prime is 321431121134111. The next prime is 321431121134129.

It is a happy number.

321431121134123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 321431121134123 - 2²⁸ = 321430852698667 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 321431121134123.

It is not an unprimeable number, because it can be changed into a prime (321431121134129) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18550872686 + ... + 18550890012.

It is an arithmetic number, because the mean of its divisors is an integer number (2340483949440).

Almost surely, 2^{321431121134123} is an apocalyptic number.

321431121134123 is a deficient number, since it is larger than the sum of its proper divisors (127941797158357).

321431121134123 is a wasteful number, since it uses less digits than its factorization.

321431121134123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17890 (or 17879 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The spelling of 321431121134123 in words is "three hundred twenty-one trillion, four hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-four thousand, one hundred twenty-three".