13221303312 has 160 divisors (see below), whose sum is σ = 39984163072. Its totient is φ = 3686694912.

The previous prime is 13221303283. The next prime is 13221303317. The reversal of 13221303312 is 21330312231.

It is a super-3 number, since 3×13221303312³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13221303317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2376438 + ... + 2381994.

Almost surely, 2^13221303312 is an apocalyptic number.

13221303312 is a gapful number since it is divisible by the number (12) 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 13221303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19992081536).

13221303312 is an abundant number, since it is smaller than the sum of its proper divisors (26762859760).

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

13221303312 is a wasteful number, since it uses less digits than its factorization.

13221303312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5745 (or 5739 counting only the distinct ones).

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

Adding to 13221303312 its reverse (21330312231), we get a palindrome (34551615543).

The spelling of 13221303312 in words is "thirteen billion, two hundred twenty-one million, three hundred three thousand, three hundred twelve".