213221322320 has 80 divisors (see below), whose sum is σ = 503154581760. Its totient is φ = 84017736192.

The previous prime is 213221322319. The next prime is 213221322323. The reversal of 213221322320 is 23223122312.

213221322320 is digitally balanced in base 2 and base 3, because in such bases 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 (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213221322323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2761682 + ... + 2837838.

It is an arithmetic number, because the mean of its divisors is an integer number (6289432272).

Almost surely, 2^213221322320 is an apocalyptic number.

213221322320 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 213221322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251577290880).

213221322320 is an abundant number, since it is smaller than the sum of its proper divisors (289933259440).

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

213221322320 is a wasteful number, since it uses less digits than its factorization.

213221322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76692 (or 76686 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 213221322320 its reverse (23223122312), we get a palindrome (236444444632).

The spelling of 213221322320 in words is "two hundred thirteen billion, two hundred twenty-one million, three hundred twenty-two thousand, three hundred twenty".