113380000 has 60 divisors (see below), whose sum is σ = 278981010. Its totient is φ = 45344000.

The previous prime is 113379997. The next prime is 113380039. The reversal of 113380000 is 83311.

It can be written as a sum of positive squares in 5 ways, for example, as 85264 + 113294736 = 292^2 + 10644^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17166 + ... + 22834.

Almost surely, 2^113380000 is an apocalyptic number.

113380000 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 113380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139490505).

113380000 is an abundant number, since it is smaller than the sum of its proper divisors (165601010).

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

113380000 is an frugal number, since it uses more digits than its factorization.

113380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5699 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 113380000 is about 10648.0045078879. The cubic root of 113380000 is about 484.0001366027. Note that the first 3 decimals are identical.

The spelling of 113380000 in words is "one hundred thirteen million, three hundred eighty thousand".