132201103300200 has 288 divisors, whose sum is σ = 484666132953600. Its totient is φ = 32026958208000.

The previous prime is 132201103300103. The next prime is 132201103300207. The reversal of 132201103300200 is 2003301102231.

132201103300200 is a `hidden beast` number, since 1 + 3 + 2 + 20 + 110 + 330 + 0 + 200 = 666.

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 (132201103300207) 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, 26856316 + ... + 31395284.

It is an arithmetic number, because the mean of its divisors is an integer number (1682868517200).

Almost surely, 2^{132201103300200} is an apocalyptic number.

132201103300200 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 132201103300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242333066476800).

132201103300200 is an abundant number, since it is smaller than the sum of its proper divisors (352465029653400).

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

132201103300200 is a wasteful number, since it uses less digits than its factorization.

132201103300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540473 (or 4540461 counting only the distinct ones).

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

Adding to 132201103300200 its reverse (2003301102231), we get a palindrome (134204404402431).

The spelling of 132201103300200 in words is "one hundred thirty-two trillion, two hundred one billion, one hundred three million, three hundred thousand, two hundred".