113201120 has 48 divisors (see below), whose sum is σ = 270073440. Its totient is φ = 44834304.

The previous prime is 113201083. The next prime is 113201141. The reversal of 113201120 is 21102311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13046 + ... + 19914.

It is an arithmetic number, because the mean of its divisors is an integer number (5626530).

Almost surely, 2^113201120 is an apocalyptic number.

113201120 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 113201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135036720).

113201120 is an abundant number, since it is smaller than the sum of its proper divisors (156872320).

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

113201120 is a wasteful number, since it uses less digits than its factorization.

113201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6987 (or 6979 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 113201120 is about 10639.6014962967. The cubic root of 113201120 is about 483.7454664203.

Adding to 113201120 its reverse (21102311), we get a palindrome (134303431).

The spelling of 113201120 in words is "one hundred thirteen million, two hundred one thousand, one hundred twenty".