113173120 has 128 divisors (see below), whose sum is σ = 293025600. Its totient is φ = 41656320.

The previous prime is 113173111. The next prime is 113173147. The reversal of 113173120 is 21371311.

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

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

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, 498447 + ... + 498673.

Almost surely, 2^113173120 is an apocalyptic number.

113173120 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 113173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146512800).

113173120 is an abundant number, since it is smaller than the sum of its proper divisors (179852480).

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

113173120 is a wasteful number, since it uses less digits than its factorization.

113173120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 113173120 is about 10638.2855761631. The cubic root of 113173120 is about 483.7055787408.

The spelling of 113173120 in words is "one hundred thirteen million, one hundred seventy-three thousand, one hundred twenty".