2130131200 has 216 divisors, whose sum is σ = 5702760000. Its totient is φ = 785326080.

The previous prime is 2130131153. The next prime is 2130131209. The reversal of 2130131200 is 21310312.

2130131200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2130131209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4268551 + ... + 4269049.

Almost surely, 2^2130131200 is an apocalyptic number.

2130131200 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 2130131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851380000).

2130131200 is an abundant number, since it is smaller than the sum of its proper divisors (3572628800).

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

2130131200 is a wasteful number, since it uses less digits than its factorization.

2130131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2130131200 is about 46153.3444075291. The cubic root of 2130131200 is about 1286.6747682500.

Adding to 2130131200 its reverse (21310312), we get a palindrome (2151441512).

The spelling of 2130131200 in words is "two billion, one hundred thirty million, one hundred thirty-one thousand, two hundred".