213344000000 has 336 divisors, whose sum is σ = 547059403800. Its totient is φ = 83148800000.

The previous prime is 213343999991. The next prime is 213344000029. The reversal of 213344000000 is 443312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1887999944 + ... + 1888000056.

Almost surely, 2^213344000000 is an apocalyptic number.

213344000000 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 213344000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273529701900).

213344000000 is an abundant number, since it is smaller than the sum of its proper divisors (333715403800).

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

213344000000 is an frugal number, since it uses more digits than its factorization.

213344000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 213344000000 its reverse (443312), we get a palindrome (213344443312).

The spelling of 213344000000 in words is "two hundred thirteen billion, three hundred forty-four million", and thus it is an aban number.