113337630 has 112 divisors (see below), whose sum is σ = 349725024. Its totient is φ = 25894080.

The previous prime is 113337617. The next prime is 113337659. The reversal of 113337630 is 36733311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113337594 and 113337603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 49920 + ... + 52140.

Almost surely, 2^113337630 is an apocalyptic number.

113337630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113337630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174862512).

113337630 is an abundant number, since it is smaller than the sum of its proper divisors (236387394).

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

113337630 is an equidigital number, since it uses as much as digits as its factorization.

113337630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 113337630 is about 10646.0147473127. The cubic root of 113337630 is about 483.9398389581.

The spelling of 113337630 in words is "one hundred thirteen million, three hundred thirty-seven thousand, six hundred thirty".