113013120 has 128 divisors (see below), whose sum is σ = 393050880. Its totient is φ = 27392000.

The previous prime is 113013091. The next prime is 113013149. The reversal of 113013120 is 21310311.

It is an interprime number because it is at equal distance from previous prime (113013091) and next prime (113013149).

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 113013096 and 113013105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18445 + ... + 23795.

It is an arithmetic number, because the mean of its divisors is an integer number (3070710).

Almost surely, 2^113013120 is an apocalyptic number.

113013120 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 113013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196525440).

113013120 is an abundant number, since it is smaller than the sum of its proper divisors (280037760).

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

113013120 is a wasteful number, since it uses less digits than its factorization.

113013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 113013120 is about 10630.7629077127. The cubic root of 113013120 is about 483.4775228414.

Adding to 113013120 its reverse (21310311), we get a palindrome (134323431).

The spelling of 113013120 in words is "one hundred thirteen million, thirteen thousand, one hundred twenty".