13200113000 has 64 divisors (see below), whose sum is σ = 30937954320. Its totient is φ = 5271552000.

The previous prime is 13200112997. The next prime is 13200113009. The reversal of 13200113000 is 31100231.

13200113000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5776912036 + 7423200964 = 76006^2 + 86158^2 .

It is not an unprimeable number, because it can be changed into a prime (13200113009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630704 + ... + 651296.

Almost surely, 2^13200113000 is an apocalyptic number.

13200113000 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 13200113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15468977160).

13200113000 is an abundant number, since it is smaller than the sum of its proper divisors (17737841320).

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

13200113000 is a wasteful number, since it uses less digits than its factorization.

13200113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21255 (or 21241 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 13200113000 its reverse (31100231), we get a palindrome (13231213231).

The spelling of 13200113000 in words is "thirteen billion, two hundred million, one hundred thirteen thousand".