113330000 has 100 divisors (see below), whose sum is σ = 313774560. Its totient is φ = 38832000.

The previous prime is 113329961. The next prime is 113330011. The reversal of 113330000 is 33311.

It is a tau number, because it is divible by the number of its divisors (100).

It is a zygodrome in base 10.

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 19 ways as a sum of consecutive naturals, for example, 69191 + ... + 70809.

Almost surely, 2^113330000 is an apocalyptic number.

113330000 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 113330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156887280).

113330000 is an abundant number, since it is smaller than the sum of its proper divisors (200444560).

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

113330000 is an equidigital number, since it uses as much as digits as its factorization.

113330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 113330000 is about 10645.6563912236. The cubic root of 113330000 is about 483.9289789468.

Adding to 113330000 its reverse (33311), we get a palindrome (113363311).

The spelling of 113330000 in words is "one hundred thirteen million, three hundred thirty thousand".