133232300032000 has 512 divisors, whose sum is σ = 360426610121760. Its totient is φ = 48877063372800.

The previous prime is 133232300031997. The next prime is 133232300032019. The reversal of 133232300032000 is 230003232331.

It can be written as a sum of positive squares in 16 ways, for example, as 21293868662784 + 111938431369216 = 4614528^2 + 10580096^2 .

It is a tau number, because it is divible by the number of its divisors (512).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8359928032 + ... + 8359943968.

Almost surely, 2^{133232300032000} is an apocalyptic number.

133232300032000 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 133232300032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180213305060880).

133232300032000 is an abundant number, since it is smaller than the sum of its proper divisors (227194310089760).

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

133232300032000 is an equidigital number, since it uses as much as digits as its factorization.

133232300032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16152 (or 16114 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 133232300032000 its reverse (230003232331), we get a palindrome (133462303264331).

The spelling of 133232300032000 in words is "one hundred thirty-three trillion, two hundred thirty-two billion, three hundred million, thirty-two thousand".