133033003200 has 252 divisors, whose sum is σ = 488084945088. Its totient is φ = 34330982400.

The previous prime is 133033003189. The next prime is 133033003249. The reversal of 133033003200 is 2300330331.

133033003200 is a `hidden beast` number, since 1 + 330 + 3 + 300 + 32 + 0 + 0 = 666.

It is a super-2 number, since 2×133033003200² (a number of 23 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 297394 + ... + 595406.

Almost surely, 2^133033003200 is an apocalyptic number.

133033003200 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 133033003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244042472544).

133033003200 is an abundant number, since it is smaller than the sum of its proper divisors (355051941888).

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

133033003200 is a wasteful number, since it uses less digits than its factorization.

133033003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298072 (or 298054 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 133033003200 its reverse (2300330331), we get a palindrome (135333333531).

The spelling of 133033003200 in words is "one hundred thirty-three billion, thirty-three million, three thousand, two hundred".