133302031200 has 864 divisors, whose sum is σ = 529256250432. Its totient is φ = 31352832000.

The previous prime is 133302031169. The next prime is 133302031217. The reversal of 133302031200 is 2130203331.

133302031200 is a `hidden beast` number, since 1 + 3 + 330 + 20 + 312 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 211254885 + ... + 211255515.

Almost surely, 2^133302031200 is an apocalyptic number.

133302031200 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 133302031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264628125216).

133302031200 is an abundant number, since it is smaller than the sum of its proper divisors (395954219232).

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

133302031200 is a wasteful number, since it uses less digits than its factorization.

133302031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 752 counting only the distinct ones).

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

Adding to 133302031200 its reverse (2130203331), we get a palindrome (135432234531).

The spelling of 133302031200 in words is "one hundred thirty-three billion, three hundred two million, thirty-one thousand, two hundred".