123313130233100 has 72 divisors (see below), whose sum is σ = 269093893294800. Its totient is φ = 49047962656000.

The previous prime is 123313130233079. The next prime is 123313130233133. The reversal of 123313130233100 is 1332031313321.

It is a super-2 number, since 2×123313130233100² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123313130233100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586818050 + ... + 587028150.

It is an arithmetic number, because the mean of its divisors is an integer number (3737415184650).

Almost surely, 2^{123313130233100} is an apocalyptic number.

123313130233100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123313130233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134546946647400).

123313130233100 is an abundant number, since it is smaller than the sum of its proper divisors (145780763061700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123313130233100 is a wasteful number, since it uses less digits than its factorization.

123313130233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243083 (or 243076 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 123313130233100 its reverse (1332031313321), we get a palindrome (124645161546421).

The spelling of 123313130233100 in words is "one hundred twenty-three trillion, three hundred thirteen billion, one hundred thirty million, two hundred thirty-three thousand, one hundred".