321311404113123 has 16 divisors (see below), whose sum is σ = 432669357513216. Its totient is φ = 212080648466400.

The previous prime is 321311404113121. The next prime is 321311404113197.

It is a happy number.

321311404113123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 321311404113123 - 2¹ = 321311404113121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (321311404113121) 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, 4630315 + ... + 25769412.

It is an arithmetic number, because the mean of its divisors is an integer number (27041834844576).

Almost surely, 2^{321311404113123} is an apocalyptic number.

321311404113123 is a deficient number, since it is larger than the sum of its proper divisors (111357953400093).

321311404113123 is a wasteful number, since it uses less digits than its factorization.

321311404113123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30434714.

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 32131140 and 4113123, that added together give a palindrome (36244263).

The spelling of 321311404113123 in words is "three hundred twenty-one trillion, three hundred eleven billion, four hundred four million, one hundred thirteen thousand, one hundred twenty-three".