2133130000 has 200 divisors, whose sum is σ = 5539476800. Its totient is φ = 793152000.

The previous prime is 2133129997. The next prime is 2133130049. The reversal of 2133130000 is 313312.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19569946 + ... + 19570054.

It is an arithmetic number, because the mean of its divisors is an integer number (27697384).

Almost surely, 2^2133130000 is an apocalyptic number.

2133130000 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 2133130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769738400).

2133130000 is an abundant number, since it is smaller than the sum of its proper divisors (3406346800).

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

2133130000 is a wasteful number, since it uses less digits than its factorization.

2133130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2133130000 is about 46185.8203348170. The cubic root of 2133130000 is about 1287.2782789716.

Adding to 2133130000 its reverse (313312), we get a palindrome (2133443312).

The spelling of 2133130000 in words is "two billion, one hundred thirty-three million, one hundred thirty thousand".