113313000 has 128 divisors (see below), whose sum is σ = 357851520. Its totient is φ = 29849600.

The previous prime is 113312989. The next prime is 113313001. The reversal of 113313000 is 313311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (113313001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320824 + ... + 321176.

It is an arithmetic number, because the mean of its divisors is an integer number (2795715).

Almost surely, 2^113313000 is an apocalyptic number.

113313000 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 113313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178925760).

113313000 is an abundant number, since it is smaller than the sum of its proper divisors (244538520).

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

113313000 is a wasteful number, since it uses less digits than its factorization.

113313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 113313000 is about 10644.8579135656. The cubic root of 113313000 is about 483.9047805762.

Adding to 113313000 its reverse (313311), we get a palindrome (113626311).

The spelling of 113313000 in words is "one hundred thirteen million, three hundred thirteen thousand".