113261120 has 112 divisors (see below), whose sum is σ = 313822080. Its totient is φ = 38129664.

The previous prime is 113261101. The next prime is 113261129. The reversal of 113261120 is 21162311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113261129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131732 + ... + 132588.

Almost surely, 2^113261120 is an apocalyptic number.

113261120 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 113261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156911040).

113261120 is an abundant number, since it is smaller than the sum of its proper divisors (200560960).

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

113261120 is an equidigital number, since it uses as much as digits as its factorization.

113261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 113261120 is about 10642.4207772480. The cubic root of 113261120 is about 483.8309178761.

The spelling of 113261120 in words is "one hundred thirteen million, two hundred sixty-one thousand, one hundred twenty".