113010000 has 100 divisors (see below), whose sum is σ = 364908192. Its totient is φ = 30128000.

The previous prime is 113009987. The next prime is 113010041. The reversal of 113010000 is 10311.

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

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 28117 + ... + 31883.

Almost surely, 2^113010000 is an apocalyptic number.

113010000 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 113010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182454096).

113010000 is an abundant number, since it is smaller than the sum of its proper divisors (251898192).

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

113010000 is an equidigital number, since it uses as much as digits as its factorization.

113010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 113010000 is about 10630.6161627631. The cubic root of 113010000 is about 483.4730736124.

Adding to 113010000 its reverse (10311), we get a palindrome (113020311).

The spelling of 113010000 in words is "one hundred thirteen million, ten thousand".