13220221224320 has 128 divisors (see below), whose sum is σ = 34540776691200. Its totient is φ = 4798563194880.

The previous prime is 13220221224253. The next prime is 13220221224361. The reversal of 13220221224320 is 2342212202231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13220221224320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2134361 + ... + 5567399.

It is an arithmetic number, because the mean of its divisors is an integer number (269849817900).

Almost surely, 2^{13220221224320} is an apocalyptic number.

13220221224320 is a gapful number since it is divisible by the number (10) 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 13220221224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17270388345600).

13220221224320 is an abundant number, since it is smaller than the sum of its proper divisors (21320555466880).

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

13220221224320 is a wasteful number, since it uses less digits than its factorization.

13220221224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433616 (or 3433604 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 13220221224320 its reverse (2342212202231), we get a palindrome (15562433426551).

The spelling of 13220221224320 in words is "thirteen trillion, two hundred twenty billion, two hundred twenty-one million, two hundred twenty-four thousand, three hundred twenty".