13035200200 has 96 divisors (see below), whose sum is σ = 33219882720. Its totient is φ = 4717440000.

The previous prime is 13035200161. The next prime is 13035200203. The reversal of 13035200200 is 200253031.

13035200200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13035200203) 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 23 ways as a sum of consecutive naturals, for example, 450160 + ... + 478240.

It is an arithmetic number, because the mean of its divisors is an integer number (346040445).

Almost surely, 2^13035200200 is an apocalyptic number.

13035200200 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 13035200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16609941360).

13035200200 is an abundant number, since it is smaller than the sum of its proper divisors (20184682520).

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

13035200200 is a wasteful number, since it uses less digits than its factorization.

13035200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28319 (or 28310 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

Adding to 13035200200 its reverse (200253031), we get a palindrome (13235453231).

The spelling of 13035200200 in words is "thirteen billion, thirty-five million, two hundred thousand, two hundred".