213444130000 has 100 divisors (see below), whose sum is σ = 517979043648. Its totient is φ = 85177840000.

The previous prime is 213444129989. The next prime is 213444130013. The reversal of 213444130000 is 31444312.

213444130000 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 (100).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 4285239 + ... + 4334761.

Almost surely, 2^213444130000 is an apocalyptic number.

213444130000 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 213444130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258989521824).

213444130000 is an abundant number, since it is smaller than the sum of its proper divisors (304534913648).

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

213444130000 is an equidigital number, since it uses as much as digits as its factorization.

213444130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49982 (or 49961 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 213444130000 its reverse (31444312), we get a palindrome (213475574312).

The spelling of 213444130000 in words is "two hundred thirteen billion, four hundred forty-four million, one hundred thirty thousand".