113000100 has 72 divisors (see below), whose sum is σ = 334957728. Its totient is φ = 29395200.

The previous prime is 113000093. The next prime is 113000117. The reversal of 113000100 is 1000311.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 7707 + ... + 16893.

Almost surely, 2^113000100 is an apocalyptic number.

113000100 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 113000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167478864).

113000100 is an abundant number, since it is smaller than the sum of its proper divisors (221957628).

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

113000100 is a wasteful number, since it uses less digits than its factorization.

113000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9245 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 113000100 is about 10630.1505163380. The cubic root of 113000100 is about 483.4589553243.

Adding to 113000100 its reverse (1000311), we get a palindrome (114000411).

The spelling of 113000100 in words is "one hundred thirteen million, one hundred", and thus it is an aban number.