123331141133321 has 12 divisors (see below), whose sum is σ = 135562690141956. Its totient is φ = 112118920261920.

The previous prime is 123331141133309. The next prime is 123331141133359.

123331141133321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 103356990263296 + 19974150870025 = 10166464^2 + 4469245^2 .

It is a de Polignac number, because none of the positive numbers 2^k-123331141133321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123331141138321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53235095 + ... + 55503491.

It is an arithmetic number, because the mean of its divisors is an integer number (11296890845163).

Almost surely, 2^{123331141133321} is an apocalyptic number.

123331141133321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123331141133321 is a deficient number, since it is larger than the sum of its proper divisors (12231549008635).

123331141133321 is a wasteful number, since it uses less digits than its factorization.

123331141133321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717752 (or 2717741 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

The spelling of 123331141133321 in words is "one hundred twenty-three trillion, three hundred thirty-one billion, one hundred forty-one million, one hundred thirty-three thousand, three hundred twenty-one".