113013320 has 64 divisors (see below), whose sum is σ = 295574400. Its totient is φ = 38085120.

The previous prime is 113013317. The next prime is 113013337. The reversal of 113013320 is 23310311.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 113013295 and 113013304.

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, 13100 + ... + 19940.

It is an arithmetic number, because the mean of its divisors is an integer number (4618350).

Almost surely, 2^113013320 is an apocalyptic number.

113013320 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 113013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147787200).

113013320 is an abundant number, since it is smaller than the sum of its proper divisors (182561080).

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

113013320 is a wasteful number, since it uses less digits than its factorization.

113013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6918 (or 6914 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 113013320 is about 10630.7723143711. The cubic root of 113013320 is about 483.4778080456.

Adding to 113013320 its reverse (23310311), we get a palindrome (136323631).

The spelling of 113013320 in words is "one hundred thirteen million, thirteen thousand, three hundred twenty".