13320200011200 has 336 divisors, whose sum is σ = 44169082685280. Its totient is φ = 3514065223680.

The previous prime is 13320200011171. The next prime is 13320200011211. The reversal of 13320200011200 is 211000202331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13320200011200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1868449236 + ... + 1868456364.

It is an arithmetic number, because the mean of its divisors is an integer number (131455603230).

Almost surely, 2^{13320200011200} is an apocalyptic number.

13320200011200 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 13320200011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22084541342640).

13320200011200 is an abundant number, since it is smaller than the sum of its proper divisors (30848882674080).

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

13320200011200 is a wasteful number, since it uses less digits than its factorization.

13320200011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11264 (or 11249 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13320200011200 its reverse (211000202331), we get a palindrome (13531200213531).

The spelling of 13320200011200 in words is "thirteen trillion, three hundred twenty billion, two hundred million, eleven thousand, two hundred".