113008000 has 128 divisors (see below), whose sum is σ = 321422400. Its totient is φ = 38707200.

The previous prime is 113007997. The next prime is 113008009. The reversal of 113008000 is 800311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113008009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 111496 + ... + 112504.

Almost surely, 2^113008000 is an apocalyptic number.

113008000 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 113008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160711200).

113008000 is an abundant number, since it is smaller than the sum of its proper divisors (208414400).

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

113008000 is an equidigital number, since it uses as much as digits as its factorization.

113008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 113008000 is about 10630.5220944223. The cubic root of 113008000 is about 483.4702214995.

Adding to 113008000 its reverse (800311), we get a palindrome (113808311).

The spelling of 113008000 in words is "one hundred thirteen million, eight thousand".