133132031332200 has 72 divisors (see below), whose sum is σ = 447101738563350. Its totient is φ = 35501875021440.

The previous prime is 133132031332169. The next prime is 133132031332217. The reversal of 133132031332200 is 2233130231331.

133132031332200 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 20 + 313 + 322 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 112142127319524 + 20989904012676 = 10589718^2 + 4581474^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36981118015 + ... + 36981121614.

Almost surely, 2^{133132031332200} is an apocalyptic number.

133132031332200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133132031332200 is an abundant number, since it is smaller than the sum of its proper divisors (313969707231150).

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

133132031332200 is a wasteful number, since it uses less digits than its factorization.

133132031332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73962239651 (or 73962239639 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133132031332200 its reverse (2233130231331), we get a palindrome (135365161563531).

The spelling of 133132031332200 in words is "one hundred thirty-three trillion, one hundred thirty-two billion, thirty-one million, three hundred thirty-two thousand, two hundred".