113100000 has 288 divisors, whose sum is σ = 413411040. Its totient is φ = 26880000.

The previous prime is 113099999. The next prime is 113100007. The reversal of 113100000 is 1311.

It is a super-2 number, since 2×113100000² = 25583220000000000, which contains 22 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113100007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3899986 + ... + 3900014.

It is an arithmetic number, because the mean of its divisors is an integer number (1435455).

Almost surely, 2^113100000 is an apocalyptic number.

113100000 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 113100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206705520).

113100000 is an abundant number, since it is smaller than the sum of its proper divisors (300311040).

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

113100000 is an equidigital number, since it uses as much as digits as its factorization.

113100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 52 counting only the distinct ones).

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

The square root of 113100000 is about 10634.8483769163. The cubic root of 113100000 is about 483.6013838821.

Adding to 113100000 its reverse (1311), we get a palindrome (113101311).

The spelling of 113100000 in words is "one hundred thirteen million, one hundred thousand".