13000003200 has 384 divisors, whose sum is σ = 47822088000. Its totient is φ = 3448811520.

The previous prime is 13000003157. The next prime is 13000003201. The reversal of 13000003200 is 230000031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (13000003201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32745402 + ... + 32745798.

Almost surely, 2^13000003200 is an apocalyptic number.

13000003200 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 13000003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23911044000).

13000003200 is an abundant number, since it is smaller than the sum of its proper divisors (34822084800).

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

13000003200 is a wasteful number, since it uses less digits than its factorization.

13000003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 13000003200 its reverse (230000031), we get a palindrome (13230003231).

The spelling of 13000003200 in words is "thirteen billion, three thousand, two hundred".