321321404123123 has 16 divisors (see below), whose sum is σ = 332603723232000. Its totient is φ = 310222629880800.

The previous prime is 321321404123099. The next prime is 321321404123201.

321321404123123 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 321321404123123 - 2⁶ = 321321404123059 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 321321404123123.

It is not an unprimeable number, because it can be changed into a prime (921321404123123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59156513 + ... + 64359426.

It is an arithmetic number, because the mean of its divisors is an integer number (20787732702000).

Almost surely, 2^{321321404123123} is an apocalyptic number.

321321404123123 is a deficient number, since it is larger than the sum of its proper divisors (11282319108877).

321321404123123 is a wasteful number, since it uses less digits than its factorization.

321321404123123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123516682.

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 32132140 and 4123123, that added together give a palindrome (36255263).

The spelling of 321321404123123 in words is "three hundred twenty-one trillion, three hundred twenty-one billion, four hundred four million, one hundred twenty-three thousand, one hundred twenty-three".