13144420102221 has 24 divisors (see below), whose sum is σ = 19345474728216. Its totient is φ = 8597227466880.

The previous prime is 13144420102207. The next prime is 13144420102241. The reversal of 13144420102221 is 12220102444131.

13144420102221 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 420 + 10 + 2 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2457150300900 + 10687269801321 = 1567530^2 + 3269139^2 .

It is not a de Polignac number, because 13144420102221 - 2¹⁵ = 13144420069453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144420102241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10382511 + ... + 11579523.

It is an arithmetic number, because the mean of its divisors is an integer number (806061447009).

Almost surely, 2^{13144420102221} is an apocalyptic number.

It is an amenable number.

13144420102221 is a deficient number, since it is larger than the sum of its proper divisors (6201054625995).

13144420102221 is a wasteful number, since it uses less digits than its factorization.

13144420102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220093 (or 1220090 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 13144420102221 its reverse (12220102444131), we get a palindrome (25364522546352).

The spelling of 13144420102221 in words is "thirteen trillion, one hundred forty-four billion, four hundred twenty million, one hundred two thousand, two hundred twenty-one".