13221333120 has 128 divisors (see below), whose sum is σ = 43039952640. Its totient is φ = 3450650624.

The previous prime is 13221333077. The next prime is 13221333121. The reversal of 13221333120 is 2133312231.

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

It is not an unprimeable number, because it can be changed into a prime (13221333121) 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, 16984 + ... + 163496.

It is an arithmetic number, because the mean of its divisors is an integer number (336249630).

Almost surely, 2^13221333120 is an apocalyptic number.

13221333120 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 13221333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21519976320).

13221333120 is an abundant number, since it is smaller than the sum of its proper divisors (29818619520).

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

13221333120 is a wasteful number, since it uses less digits than its factorization.

13221333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146582 (or 146570 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13221333120 its reverse (2133312231), we get a palindrome (15354645351).

The spelling of 13221333120 in words is "thirteen billion, two hundred twenty-one million, three hundred thirty-three thousand, one hundred twenty".