13200344144221 has 48 divisors (see below), whose sum is σ = 15888526617600. Its totient is φ = 10862774770176.

The previous prime is 13200344144171. The next prime is 13200344144269. The reversal of 13200344144221 is 12244144300231.

It is a happy number.

It is not a de Polignac number, because 13200344144221 - 2¹⁷ = 13200344013149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200344124221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705174900 + ... + 705193618.

It is an arithmetic number, because the mean of its divisors is an integer number (331010971200).

Almost surely, 2^{13200344144221} is an apocalyptic number.

It is an amenable number.

13200344144221 is a deficient number, since it is larger than the sum of its proper divisors (2688182473379).

13200344144221 is a wasteful number, since it uses less digits than its factorization.

13200344144221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27626 (or 27607 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 13200344144221 its reverse (12244144300231), we get a palindrome (25444488444452).

The spelling of 13200344144221 in words is "thirteen trillion, two hundred billion, three hundred forty-four million, one hundred forty-four thousand, two hundred twenty-one".