133232333130000 has 600 divisors, whose sum is σ = 501936688813560. Its totient is φ = 32784998400000.

The previous prime is 133232333129993. The next prime is 133232333130019. The reversal of 133232333130000 is 31333232331.

133232333130000 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 3 + 23 + 331 + 300 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 130995166777344 + 2237166352656 = 11445312^2 + 1495716^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3965113200 + ... + 3965146800.

Almost surely, 2^{133232333130000} is an apocalyptic number.

133232333130000 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 133232333130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250968344406780).

133232333130000 is an abundant number, since it is smaller than the sum of its proper divisors (368704355683560).

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

133232333130000 is a wasteful number, since it uses less digits than its factorization.

133232333130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37037 (or 37013 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 133232333130000 its reverse (31333232331), we get a palindrome (133263666362331).

The spelling of 133232333130000 in words is "one hundred thirty-three trillion, two hundred thirty-two billion, three hundred thirty-three million, one hundred thirty thousand".