133214324022200 has 192 divisors, whose sum is σ = 338771579731200. Its totient is φ = 48569396198400.

The previous prime is 133214324022191. The next prime is 133214324022203. The reversal of 133214324022200 is 2220423412331.

133214324022200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133214324022200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133214324022203) by changing a digit.

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, 103370 + ... + 16322969.

It is an arithmetic number, because the mean of its divisors is an integer number (1764435311100).

Almost surely, 2^{133214324022200} is an apocalyptic number.

133214324022200 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 133214324022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169385789865600).

133214324022200 is an abundant number, since it is smaller than the sum of its proper divisors (205557255709000).

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

133214324022200 is a wasteful number, since it uses less digits than its factorization.

133214324022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16426462 (or 16426453 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 133214324022200 its reverse (2220423412331), we get a palindrome (135434747434531).

The spelling of 133214324022200 in words is "one hundred thirty-three trillion, two hundred fourteen billion, three hundred twenty-four million, twenty-two thousand, two hundred".