132201313200 has 360 divisors, whose sum is σ = 509933277360. Its totient is φ = 31443609600.

The previous prime is 132201313187. The next prime is 132201313201. The reversal of 132201313200 is 2313102231.

132201313200 is a `hidden beast` number, since 132 + 20 + 1 + 313 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (132201313201) 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, 2067306 + ... + 2130294.

It is an arithmetic number, because the mean of its divisors is an integer number (1416481326).

Almost surely, 2^132201313200 is an apocalyptic number.

132201313200 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 132201313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254966638680).

132201313200 is an abundant number, since it is smaller than the sum of its proper divisors (377731964160).

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

132201313200 is a wasteful number, since it uses less digits than its factorization.

132201313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63077 (or 63063 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132201313200 its reverse (2313102231), we get a palindrome (134514415431).

The spelling of 132201313200 in words is "one hundred thirty-two billion, two hundred one million, three hundred thirteen thousand, two hundred".