2213320221312 has 128 divisors (see below), whose sum is σ = 6376792262400. Its totient is φ = 677438914560.

The previous prime is 2213320221293. The next prime is 2213320221337. The reversal of 2213320221312 is 2131220233122.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 3867112 + ... + 4402407.

It is an arithmetic number, because the mean of its divisors is an integer number (49818689550).

Almost surely, 2^{2213320221312} is an apocalyptic number.

It is an amenable number.

2213320221312 is an abundant number, since it is smaller than the sum of its proper divisors (4163472041088).

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

2213320221312 is a wasteful number, since it uses less digits than its factorization.

2213320221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8269594 (or 8269582 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2213320221312 its reverse (2131220233122), we get a palindrome (4344540454434).

The spelling of 2213320221312 in words is "two trillion, two hundred thirteen billion, three hundred twenty million, two hundred twenty-one thousand, three hundred twelve".