321313040313123 has 32 divisors (see below), whose sum is σ = 444359150007552. Its totient is φ = 206352686160000.

The previous prime is 321313040313073. The next prime is 321313040313127.

It is a happy number.

321313040313123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 321313040313123 - 2⁸ = 321313040312867 is a prime.

It is a super-2 number, since 2×321313040313123² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (321313040313127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 959976348 + ... + 960310998.

It is an arithmetic number, because the mean of its divisors is an integer number (13886223437736).

Almost surely, 2^{321313040313123} is an apocalyptic number.

321313040313123 is a deficient number, since it is larger than the sum of its proper divisors (123046109694429).

321313040313123 is a wasteful number, since it uses less digits than its factorization.

321313040313123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420435.

The product of its (nonzero) digits is 11664, while the sum is 30.

The spelling of 321313040313123 in words is "three hundred twenty-one trillion, three hundred thirteen billion, forty million, three hundred thirteen thousand, one hundred twenty-three".