113310000 has 150 divisors (see below), whose sum is σ = 396576180. Its totient is φ = 30192000.

The previous prime is 113309971. The next prime is 113310007. The reversal of 113310000 is 13311.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-3 number, since 3×113310000³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (113310007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89371 + ... + 90629.

Almost surely, 2^113310000 is an apocalyptic number.

113310000 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 113310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198288090).

113310000 is an abundant number, since it is smaller than the sum of its proper divisors (283266180).

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

113310000 is a wasteful number, since it uses less digits than its factorization.

113310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 113310000 is about 10644.7169995261. The cubic root of 113310000 is about 483.9005100242.

Adding to 113310000 its reverse (13311), we get a palindrome (113323311).

The spelling of 113310000 in words is "one hundred thirteen million, three hundred ten thousand".