13300113300 has 72 divisors (see below), whose sum is σ = 38564469216. Its totient is φ = 3539064960.

The previous prime is 13300113293. The next prime is 13300113367. The reversal of 13300113300 is 331100331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13300113300.

It is a congruent number.

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, 92634 + ... + 187566.

It is an arithmetic number, because the mean of its divisors is an integer number (535617628).

Almost surely, 2^13300113300 is an apocalyptic number.

13300113300 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 13300113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19282234608).

13300113300 is an abundant number, since it is smaller than the sum of its proper divisors (25264355916).

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

13300113300 is a wasteful number, since it uses less digits than its factorization.

13300113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95417 (or 95410 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 13300113300 its reverse (331100331), we get a palindrome (13631213631).

The spelling of 13300113300 in words is "thirteen billion, three hundred million, one hundred thirteen thousand, three hundred".