133322213131200 has 336 divisors, whose sum is σ = 499144225646560. Its totient is φ = 34591708938240.

The previous prime is 133322213131117. The next prime is 133322213131229. The reversal of 133322213131200 is 2131312223331.

133322213131200 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 2 + 221 + 313 + 120 + 0 = 666.

It is a super-2 number, since 2×133322213131200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40106497 + ... + 43303296.

Almost surely, 2^{133322213131200} is an apocalyptic number.

133322213131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133322213131200 is an abundant number, since it is smaller than the sum of its proper divisors (365822012515360).

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

133322213131200 is a wasteful number, since it uses less digits than its factorization.

133322213131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83409861 (or 83409840 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 133322213131200 its reverse (2131312223331), we get a palindrome (135453525354531).

The spelling of 133322213131200 in words is "one hundred thirty-three trillion, three hundred twenty-two billion, two hundred thirteen million, one hundred thirty-one thousand, two hundred".