123313102133103 has 48 divisors (see below), whose sum is σ = 180595277990400. Its totient is φ = 81068404435200.

The previous prime is 123313102133087. The next prime is 123313102133129. The reversal of 123313102133103 is 301331201313321.

123313102133103 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 131 + 0 + 213 + 310 + 3 = 666.

It is not a de Polignac number, because 123313102133103 - 2⁴ = 123313102133087 is a prime.

It is a super-2 number, since 2×123313102133103² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123313102133153) 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 47 ways as a sum of consecutive naturals, for example, 2949418263 + ... + 2949460071.

It is an arithmetic number, because the mean of its divisors is an integer number (3762401624800).

Almost surely, 2^{123313102133103} is an apocalyptic number.

123313102133103 is a deficient number, since it is larger than the sum of its proper divisors (57282175857297).

123313102133103 is a wasteful number, since it uses less digits than its factorization.

123313102133103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46892 (or 46889 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 123313102133103 its reverse (301331201313321), we get a palindrome (424644303446424).

The spelling of 123313102133103 in words is "one hundred twenty-three trillion, three hundred thirteen billion, one hundred two million, one hundred thirty-three thousand, one hundred three".