213220320000 has 180 divisors, whose sum is σ = 709120852440. Its totient is φ = 56858624000.

The previous prime is 213220319989. The next prime is 213220320017. The reversal of 213220320000 is 23022312.

213220320000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 257896 + ... + 702104.

Almost surely, 2^213220320000 is an apocalyptic number.

213220320000 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 213220320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354560426220).

213220320000 is an abundant number, since it is smaller than the sum of its proper divisors (495900532440).

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

213220320000 is an frugal number, since it uses more digits than its factorization.

213220320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444248 (or 444219 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 213220320000 its reverse (23022312), we get a palindrome (213243342312).

The spelling of 213220320000 in words is "two hundred thirteen billion, two hundred twenty million, three hundred twenty thousand".