13002200200 has 72 divisors (see below), whose sum is σ = 33228205290. Its totient is φ = 4728064000.

The previous prime is 13002200191. The next prime is 13002200201. The reversal of 13002200200 is 200220031.

13002200200 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 3 ways, for example, as 7547786884 + 5454413316 = 86878^2 + 73854^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13002200201) 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 17 ways as a sum of consecutive naturals, for example, 244441 + ... + 292840.

Almost surely, 2^13002200200 is an apocalyptic number.

13002200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13002200200 is an abundant number, since it is smaller than the sum of its proper divisors (20226005090).

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

13002200200 is a wasteful number, since it uses less digits than its factorization.

13002200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537319 (or 537299 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 13002200200 its reverse (200220031), we get a palindrome (13202420231).

The spelling of 13002200200 in words is "thirteen billion, two million, two hundred thousand, two hundred".