13221321321120 has 768 divisors, whose sum is σ = 48481093140480. Its totient is φ = 2996634009600.

The previous prime is 13221321321071. The next prime is 13221321321121. The reversal of 13221321321120 is 2112312312231.

It is a super-3 number, since 3×13221321321120³ (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13221321321121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8156273910 + ... + 8156275530.

It is an arithmetic number, because the mean of its divisors is an integer number (63126423360).

Almost surely, 2^{13221321321120} is an apocalyptic number.

13221321321120 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 13221321321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24240546570240).

13221321321120 is an abundant number, since it is smaller than the sum of its proper divisors (35259771819360).

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

13221321321120 is a wasteful number, since it uses less digits than its factorization.

13221321321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13221321321120 its reverse (2112312312231), we get a palindrome (15333633633351).

The spelling of 13221321321120 in words is "thirteen trillion, two hundred twenty-one billion, three hundred twenty-one million, three hundred twenty-one thousand, one hundred twenty".