113011300 has 72 divisors (see below), whose sum is σ = 252624456. Its totient is φ = 43868160.

The previous prime is 113011279. The next prime is 113011303. The reversal of 113011300 is 3110311.

113011300 = T₄₆₉ + T₄₇₀ + ... + T₉₂₀.

It can be written as a sum of positive squares in 12 ways, for example, as 56220004 + 56791296 = 7498^2 + 7536^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (113011303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 824832 + ... + 824968.

It is an arithmetic number, because the mean of its divisors is an integer number (3508673).

Almost surely, 2^113011300 is an apocalyptic number.

113011300 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 113011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126312228).

113011300 is an abundant number, since it is smaller than the sum of its proper divisors (139613156).

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

113011300 is a wasteful number, since it uses less digits than its factorization.

113011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 113011300 is about 10630.6773067383. The cubic root of 113011300 is about 483.4749274678.

Adding to 113011300 its reverse (3110311), we get a palindrome (116121611).

It can be divided in two parts, 113011 and 300, that added together give a palindrome (113311).

The spelling of 113011300 in words is "one hundred thirteen million, eleven thousand, three hundred".