113301000 has 96 divisors (see below), whose sum is σ = 382987800. Its totient is φ = 30211200.

The previous prime is 113300981. The next prime is 113301017. The reversal of 113301000 is 103311.

It can be written as a sum of positive squares in 4 ways, for example, as 11573604 + 101727396 = 3402^2 + 10086^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2706 + ... + 15294.

Almost surely, 2^113301000 is an apocalyptic number.

113301000 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 113301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191493900).

113301000 is an abundant number, since it is smaller than the sum of its proper divisors (269686800).

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

113301000 is a wasteful number, since it uses less digits than its factorization.

113301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12616 (or 12599 counting only the distinct ones).

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

The square root of 113301000 is about 10644.2942462147. The cubic root of 113301000 is about 483.8876979162.

Adding to 113301000 its reverse (103311), we get a palindrome (113404311).

The spelling of 113301000 in words is "one hundred thirteen million, three hundred one thousand".