210213130000 has 100 divisors (see below), whose sum is σ = 509190741180. Its totient is φ = 84044992000.

The previous prime is 210213129953. The next prime is 210213130079. The reversal of 210213130000 is 31312012.

210213130000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 206504807184 + 3708322816 = 454428^2 + 60896^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 29566446 + ... + 29573554.

Almost surely, 2^210213130000 is an apocalyptic number.

210213130000 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 210213130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254595370590).

210213130000 is an abundant number, since it is smaller than the sum of its proper divisors (298977611180).

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

210213130000 is an equidigital number, since it uses as much as digits as its factorization.

210213130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10094 (or 10073 counting only the distinct ones).

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

Adding to 210213130000 its reverse (31312012), we get a palindrome (210244442012).

The spelling of 210213130000 in words is "two hundred ten billion, two hundred thirteen million, one hundred thirty thousand".