113431120 has 80 divisors (see below), whose sum is σ = 291356352. Its totient is φ = 40724480.

The previous prime is 113431117. The next prime is 113431189. The reversal of 113431120 is 21134311.

113431120 = 383² + 384² + ... + 734².

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 113431094 and 113431103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72264 + ... + 73816.

Almost surely, 2^113431120 is an apocalyptic number.

113431120 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 113431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145678176).

113431120 is an abundant number, since it is smaller than the sum of its proper divisors (177925232).

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

113431120 is a wasteful number, since it uses less digits than its factorization.

113431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 113431120 is about 10650.4046871469. The cubic root of 113431120 is about 484.0728665650.

Adding to 113431120 its reverse (21134311), we get a palindrome (134565431).

The spelling of 113431120 in words is "one hundred thirteen million, four hundred thirty-one thousand, one hundred twenty".