133132330000 has 200 divisors, whose sum is σ = 341604620280. Its totient is φ = 50158080000.

The previous prime is 133132329949. The next prime is 133132330039. The reversal of 133132330000 is 33231331.

It can be written as a sum of positive squares in 20 ways, for example, as 121218170896 + 11914159104 = 348164^2 + 109152^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 133132330000.

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 39 ways as a sum of consecutive naturals, for example, 11884402 + ... + 11895598.

Almost surely, 2^133132330000 is an apocalyptic number.

133132330000 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 133132330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170802310140).

133132330000 is an abundant number, since it is smaller than the sum of its proper divisors (208472290280).

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

133132330000 is a wasteful number, since it uses less digits than its factorization.

133132330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11295 (or 11274 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 133132330000 its reverse (33231331), we get a palindrome (133165561331).

The spelling of 133132330000 in words is "one hundred thirty-three billion, one hundred thirty-two million, three hundred thirty thousand".