13201003200 has 1008 divisors, whose sum is σ = 57908293632. Its totient is φ = 2568192000.

The previous prime is 13201003187. The next prime is 13201003201. The reversal of 13201003200 is 230010231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (13201003201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69115105 + ... + 69115295.

It is an arithmetic number, because the mean of its divisors is an integer number (57448704).

Almost surely, 2^13201003200 is an apocalyptic number.

13201003200 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 13201003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28954146816).

13201003200 is an abundant number, since it is smaller than the sum of its proper divisors (44707290432).

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

13201003200 is a wasteful number, since it uses less digits than its factorization.

13201003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13201003200 its reverse (230010231), we get a palindrome (13431013431).

The spelling of 13201003200 in words is "thirteen billion, two hundred one million, three thousand, two hundred".