13220221224321 has 64 divisors (see below), whose sum is σ = 20415909427200. Its totient is φ = 8447528760768.

The previous prime is 13220221224253. The next prime is 13220221224361. The reversal of 13220221224321 is 12342212202231.

13220221224321 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 0 + 221 + 2 + 2 + 432 + 1 = 666.

It is not a de Polignac number, because 13220221224321 - 2¹⁴ = 13220221207937 is a prime.

It is a super-2 number, since 2×13220221224321² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13220221224361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28542460 + ... + 29001938.

It is an arithmetic number, because the mean of its divisors is an integer number (318998584800).

Almost surely, 2^{13220221224321} is an apocalyptic number.

It is an amenable number.

13220221224321 is a deficient number, since it is larger than the sum of its proper divisors (7195688202879).

13220221224321 is a wasteful number, since it uses less digits than its factorization.

13220221224321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459955 (or 459949 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13220221224321 its reverse (12342212202231), we get a palindrome (25562433426552).

The spelling of 13220221224321 in words is "thirteen trillion, two hundred twenty billion, two hundred twenty-one million, two hundred twenty-four thousand, three hundred twenty-one".