113001200 has 120 divisors (see below), whose sum is σ = 302230656. Its totient is φ = 40320000.

The previous prime is 113001179. The next prime is 113001209. The reversal of 113001200 is 2100311.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113001209) 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 23 ways as a sum of consecutive naturals, for example, 160850 + ... + 161550.

Almost surely, 2^113001200 is an apocalyptic number.

113001200 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 113001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151115328).

113001200 is an abundant number, since it is smaller than the sum of its proper divisors (189229456).

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

113001200 is a wasteful number, since it uses less digits than its factorization.

113001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 113001200 is about 10630.2022558369. The cubic root of 113001200 is about 483.4605240637.

Adding to 113001200 its reverse (2100311), we get a palindrome (115101511).

The spelling of 113001200 in words is "one hundred thirteen million, one thousand, two hundred".