13132020112200 has 288 divisors, whose sum is σ = 48129152572800. Its totient is φ = 3182315328000.

The previous prime is 13132020112171. The next prime is 13132020112201. The reversal of 13132020112200 is 221102023131.

13132020112200 is a `hidden beast` number, since 1 + 31 + 320 + 2 + 0 + 112 + 200 = 666.

13132020112200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13132020112201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52761646 + ... + 53009954.

It is an arithmetic number, because the mean of its divisors is an integer number (167115113100).

Almost surely, 2^{13132020112200} is an apocalyptic number.

13132020112200 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 13132020112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24064576286400).

13132020112200 is an abundant number, since it is smaller than the sum of its proper divisors (34997132460600).

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

13132020112200 is a wasteful number, since it uses less digits than its factorization.

13132020112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251013 (or 251001 counting only the distinct ones).

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

Adding to 13132020112200 its reverse (221102023131), we get a palindrome (13353122135331).

The spelling of 13132020112200 in words is "thirteen trillion, one hundred thirty-two billion, twenty million, one hundred twelve thousand, two hundred".