113113313100 has 108 divisors (see below), whose sum is σ = 375403175784. Its totient is φ = 28389219840.

The previous prime is 113113313039. The next prime is 113113313101. The reversal of 113113313100 is 1313311311.

113113313100 is a `hidden beast` number, since 1 + 13 + 11 + 331 + 310 + 0 = 666.

It is a super-2 number, since 2×113113313100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113113313101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3681214 + ... + 3711813.

Almost surely, 2^113113313100 is an apocalyptic number.

113113313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113113313100 is an abundant number, since it is smaller than the sum of its proper divisors (262289862684).

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

113113313100 is a wasteful number, since it uses less digits than its factorization.

113113313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7393064 (or 7393054 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 113113313100 its reverse (1313311311), we get a palindrome (114426624411).

The spelling of 113113313100 in words is "one hundred thirteen billion, one hundred thirteen million, three hundred thirteen thousand, one hundred".