200133131330000 has 400 divisors, whose sum is σ = 533978933744256. Its totient is φ = 72034652160000.

The previous prime is 200133131329997. The next prime is 200133131330009. The reversal of 200133131330000 is 33131331002.

200133131330000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200133131330009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42974687672 + ... + 42974692328.

Almost surely, 2^{200133131330000} is an apocalyptic number.

200133131330000 is a gapful number since it is divisible by the number (20) 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 200133131330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266989466872128).

200133131330000 is an abundant number, since it is smaller than the sum of its proper divisors (333845802414256).

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

200133131330000 is a wasteful number, since it uses less digits than its factorization.

200133131330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8592 (or 8571 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 200133131330000 its reverse (33131331002), we get a palindrome (200166262661002).

The spelling of 200133131330000 in words is "two hundred trillion, one hundred thirty-three billion, one hundred thirty-one million, three hundred thirty thousand".