113001300 has 216 divisors, whose sum is σ = 380225664. Its totient is φ = 28005120.

The previous prime is 113001271. The next prime is 113001311. The reversal of 113001300 is 3100311.

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

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 71 ways as a sum of consecutive naturals, for example, 1097049 + ... + 1097151.

It is an arithmetic number, because the mean of its divisors is an integer number (1760304).

Almost surely, 2^113001300 is an apocalyptic number.

113001300 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 113001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190112832).

113001300 is an abundant number, since it is smaller than the sum of its proper divisors (267224364).

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

113001300 is a wasteful number, since it uses less digits than its factorization.

113001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

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

The square root of 113001300 is about 10630.2069594152. The cubic root of 113001300 is about 483.4606666759.

Adding to 113001300 its reverse (3100311), we get a palindrome (116101611).

The spelling of 113001300 in words is "one hundred thirteen million, one thousand, three hundred".