2213332200320 has 128 divisors (see below), whose sum is σ = 5371735017600. Its totient is φ = 871873136640.

The previous prime is 2213332200307. The next prime is 2213332200329. The reversal of 2213332200320 is 230022333122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213332200329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262893071 + ... + 262901489.

It is an arithmetic number, because the mean of its divisors is an integer number (41966679825).

Almost surely, 2^{2213332200320} is an apocalyptic number.

2213332200320 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 2213332200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685867508800).

2213332200320 is an abundant number, since it is smaller than the sum of its proper divisors (3158402817280).

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

2213332200320 is an equidigital number, since it uses as much as digits as its factorization.

2213332200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14636 (or 14624 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 2213332200320 its reverse (230022333122), we get a palindrome (2443354533442).

The spelling of 2213332200320 in words is "two trillion, two hundred thirteen billion, three hundred thirty-two million, two hundred thousand, three hundred twenty".