123353404353321 has 32 divisors (see below), whose sum is σ = 171558004267008. Its totient is φ = 78763398943680.

The previous prime is 123353404353299. The next prime is 123353404353373.

123353404353321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123353404353321 - 2¹⁴ = 123353404336937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123353406353321) 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, 4754866 + ... + 16410836.

It is an arithmetic number, because the mean of its divisors is an integer number (5361187633344).

Almost surely, 2^{123353404353321} is an apocalyptic number.

It is an amenable number.

123353404353321 is a deficient number, since it is larger than the sum of its proper divisors (48204599913687).

123353404353321 is a wasteful number, since it uses less digits than its factorization.

123353404353321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11657501.

The product of its (nonzero) digits is 1166400, while the sum is 42.

It can be divided in two parts, 12335340 and 4353321, that added together give a palindrome (16688661).

The spelling of 123353404353321 in words is "one hundred twenty-three trillion, three hundred fifty-three billion, four hundred four million, three hundred fifty-three thousand, three hundred twenty-one".