13221302144 has 64 divisors (see below), whose sum is σ = 27352140480. Its totient is φ = 6360883200.

The previous prime is 13221302137. The next prime is 13221302161. The reversal of 13221302144 is 44120312231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×13221302144³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365849 + ... + 400359.

It is an arithmetic number, because the mean of its divisors is an integer number (427377195).

Almost surely, 2^13221302144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13676070240).

13221302144 is an abundant number, since it is smaller than the sum of its proper divisors (14130838336).

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

13221302144 is an equidigital number, since it uses as much as digits as its factorization.

13221302144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34639 (or 34627 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 13221302144 its reverse (44120312231), we get a palindrome (57341614375).

The spelling of 13221302144 in words is "thirteen billion, two hundred twenty-one million, three hundred two thousand, one hundred forty-four".