13200132211200 has 2400 divisors, whose sum is σ = 55798247165760. Its totient is φ = 3052604620800.

The previous prime is 13200132211187. The next prime is 13200132211207. The reversal of 13200132211200 is 211223100231.

13200132211200 is a `hidden beast` number, since 1 + 320 + 0 + 1 + 3 + 221 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13200132211207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 35389094214 + ... + 35389094586.

Almost surely, 2^{13200132211200} is an apocalyptic number.

13200132211200 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 13200132211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27899123582880).

13200132211200 is an abundant number, since it is smaller than the sum of its proper divisors (42598114954560).

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

13200132211200 is a wasteful number, since it uses less digits than its factorization.

13200132211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13200132211200 its reverse (211223100231), we get a palindrome (13411355311431).

The spelling of 13200132211200 in words is "thirteen trillion, two hundred billion, one hundred thirty-two million, two hundred eleven thousand, two hundred".