133000333200 has 720 divisors, whose sum is σ = 550083780480. Its totient is φ = 29123297280.

The previous prime is 133000333183. The next prime is 133000333201. The reversal of 133000333200 is 2333000331.

133000333200 is a `hidden beast` number, since 1 + 330 + 0 + 0 + 3 + 332 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×133000333200² (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 not an unprimeable number, because it can be changed into a prime (133000333201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62469736 + ... + 62471864.

Almost surely, 2^133000333200 is an apocalyptic number.

133000333200 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 133000333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275041890240).

133000333200 is an abundant number, since it is smaller than the sum of its proper divisors (417083447280).

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

133000333200 is a wasteful number, since it uses less digits than its factorization.

133000333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2250 counting only the distinct ones).

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

Adding to 133000333200 its reverse (2333000331), we get a palindrome (135333333531).

The spelling of 133000333200 in words is "one hundred thirty-three billion, three hundred thirty-three thousand, two hundred".