133302013000200 has 480 divisors, whose sum is σ = 511151711384160. Its totient is φ = 31926290918400.

The previous prime is 133302013000199. The next prime is 133302013000229. The reversal of 133302013000200 is 2000310203331.

133302013000200 is a `hidden beast` number, since 1 + 3 + 330 + 2 + 0 + 130 + 0 + 0 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 119 ways as a sum of consecutive naturals, for example, 10284292 + ... + 19296908.

It is an arithmetic number, because the mean of its divisors is an integer number (1064899398717).

Almost surely, 2^{133302013000200} is an apocalyptic number.

133302013000200 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 133302013000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255575855692080).

133302013000200 is an abundant number, since it is smaller than the sum of its proper divisors (377849698383960).

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

133302013000200 is a wasteful number, since it uses less digits than its factorization.

133302013000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9012739 (or 9012721 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133302013000200 its reverse (2000310203331), we get a palindrome (135302323203531).

The spelling of 133302013000200 in words is "one hundred thirty-three trillion, three hundred two billion, thirteen million, two hundred", and thus it is an aban number.