12113332313100 has 144 divisors (see below), whose sum is σ = 35338611934080. Its totient is φ = 3203539520000.

The previous prime is 12113332313083. The next prime is 12113332313111. The reversal of 12113332313100 is 131323331121.

It is a super-2 number, since 2×12113332313100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17199691 + ... + 17890109.

It is an arithmetic number, because the mean of its divisors is an integer number (245407027320).

Almost surely, 2^{12113332313100} is an apocalyptic number.

12113332313100 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 12113332313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17669305967040).

12113332313100 is an abundant number, since it is smaller than the sum of its proper divisors (23225279620980).

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

12113332313100 is a wasteful number, since it uses less digits than its factorization.

12113332313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690920 (or 690913 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 12113332313100 its reverse (131323331121), we get a palindrome (12244655644221).

The spelling of 12113332313100 in words is "twelve trillion, one hundred thirteen billion, three hundred thirty-two million, three hundred thirteen thousand, one hundred".