133133200200 has 1152 divisors, whose sum is σ = 616843019520. Its totient is φ = 24833433600.

The previous prime is 133133200177. The next prime is 133133200313. The reversal of 133133200200 is 2002331331.

133133200200 is a `hidden beast` number, since 1 + 331 + 332 + 0 + 0 + 2 + 0 + 0 = 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66665602 + ... + 66667598.

It is an arithmetic number, because the mean of its divisors is an integer number (535454010).

Almost surely, 2^133133200200 is an apocalyptic number.

133133200200 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 133133200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308421509760).

133133200200 is an abundant number, since it is smaller than the sum of its proper divisors (483709819320).

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

133133200200 is a wasteful number, since it uses less digits than its factorization.

133133200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2075 counting only the distinct ones).

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

Adding to 133133200200 its reverse (2002331331), we get a palindrome (135135531531).

It can be divided in two parts, 133133 and 200200, that added together give a palindrome (333333).

The spelling of 133133200200 in words is "one hundred thirty-three billion, one hundred thirty-three million, two hundred thousand, two hundred".