113300011000 has 128 divisors (see below), whose sum is σ = 290067298560. Its totient is φ = 41079888000.

The previous prime is 113300010991. The next prime is 113300011003. The reversal of 113300011000 is 110003311.

It is a super-3 number, since 3×113300011000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113300011003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3802159 + ... + 3831841.

It is an arithmetic number, because the mean of its divisors is an integer number (2266150770).

Almost surely, 2^113300011000 is an apocalyptic number.

113300011000 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 113300011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145033649280).

113300011000 is an abundant number, since it is smaller than the sum of its proper divisors (176767287560).

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

113300011000 is a wasteful number, since it uses less digits than its factorization.

113300011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30062 (or 30048 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 113300011000 its reverse (110003311), we get a palindrome (113410014311).

The spelling of 113300011000 in words is "one hundred thirteen billion, three hundred million, eleven thousand".