213322210320 has 160 divisors (see below), whose sum is σ = 664957440000. Its totient is φ = 56571766272.

The previous prime is 213322210271. The next prime is 213322210333. The reversal of 213322210320 is 23012223312.

It is a happy number.

213322210320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 80225151 + ... + 80227809.

It is an arithmetic number, because the mean of its divisors is an integer number (4155984000).

Almost surely, 2^213322210320 is an apocalyptic number.

213322210320 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 213322210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332478720000).

213322210320 is an abundant number, since it is smaller than the sum of its proper divisors (451635229680).

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

213322210320 is a wasteful number, since it uses less digits than its factorization.

213322210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 213322210320 its reverse (23012223312), we get a palindrome (236334433632).

The spelling of 213322210320 in words is "two hundred thirteen billion, three hundred twenty-two million, two hundred ten thousand, three hundred twenty".