123121413311013 has 24 divisors (see below), whose sum is σ = 193217085216792. Its totient is φ = 75096518934528.

The previous prime is 123121413311003. The next prime is 123121413311021. The reversal of 123121413311013 is 310113314121321.

123121413311013 is a `hidden beast` number, since 1 + 2 + 3 + 121 + 413 + 3 + 110 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6296400803169 + 116825012507844 = 2509263^2 + 10808562^2 .

It is not a de Polignac number, because 123121413311013 - 2¹⁶ = 123121413245477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123121413311003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4656268956 + ... + 4656295397.

It is an arithmetic number, because the mean of its divisors is an integer number (8050711884033).

Almost surely, 2^{123121413311013} is an apocalyptic number.

123121413311013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123121413311013 is a deficient number, since it is larger than the sum of its proper divisors (70095671905779).

123121413311013 is a wasteful number, since it uses less digits than its factorization.

123121413311013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9312564485 (or 9312564482 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 123121413311013 its reverse (310113314121321), we get a palindrome (433234727432334).

The spelling of 123121413311013 in words is "one hundred twenty-three trillion, one hundred twenty-one billion, four hundred thirteen million, three hundred eleven thousand, thirteen".