133203130000200 has 288 divisors, whose sum is σ = 494771629333800. Its totient is φ = 31902287892480.

The previous prime is 133203130000177. The next prime is 133203130000229. The reversal of 133203130000200 is 2000031302331.

133203130000200 is a `hidden beast` number, since 1 + 332 + 0 + 3 + 130 + 0 + 0 + 0 + 200 = 666.

133203130000200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 26867799396 + 133176262200804 = 163914^2 + 11540202^2 .

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 71 ways as a sum of consecutive naturals, for example, 76059085 + ... + 77790684.

Almost surely, 2^{133203130000200} is an apocalyptic number.

133203130000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133203130000200 is an abundant number, since it is smaller than the sum of its proper divisors (361568499333600).

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

133203130000200 is a wasteful number, since it uses less digits than its factorization.

133203130000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153849841 (or 153849829 counting only the distinct ones).

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

Adding to 133203130000200 its reverse (2000031302331), we get a palindrome (135203161302531).

The spelling of 133203130000200 in words is "one hundred thirty-three trillion, two hundred three billion, one hundred thirty million, two hundred", and thus it is an aban number.