113513100 has 72 divisors (see below), whose sum is σ = 329645568. Its totient is φ = 30158400.

The previous prime is 113513093. The next prime is 113513123. The reversal of 113513100 is 1315311.

It is a super-2 number, since 2×113513100² = 25770447743220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113513100.

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, 109585 + ... + 110615.

Almost surely, 2^113513100 is an apocalyptic number.

113513100 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 113513100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164822784).

113513100 is an abundant number, since it is smaller than the sum of its proper divisors (216132468).

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

113513100 is a wasteful number, since it uses less digits than its factorization.

113513100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 113513100 is about 10654.2526720554. The cubic root of 113513100 is about 484.1894563718.

Adding to 113513100 its reverse (1315311), we get a palindrome (114828411).

The spelling of 113513100 in words is "one hundred thirteen million, five hundred thirteen thousand, one hundred".