13221200122301 has 12 divisors (see below), whose sum is σ = 14056206647028. Its totient is φ = 12433257418752.

The previous prime is 13221200122253. The next prime is 13221200122327. The reversal of 13221200122301 is 10322100212231.

It can be written as a sum of positive squares in 6 ways, for example, as 3771263016676 + 9449937105625 = 1941974^2 + 3074075^2 .

It is not a de Polignac number, because 13221200122301 - 2⁶ = 13221200122237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221200122331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18443726 + ... + 19147151.

It is an arithmetic number, because the mean of its divisors is an integer number (1171350553919).

Almost surely, 2^{13221200122301} is an apocalyptic number.

It is an amenable number.

13221200122301 is a deficient number, since it is larger than the sum of its proper divisors (835006524727).

13221200122301 is a wasteful number, since it uses less digits than its factorization.

13221200122301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37592128 (or 37592111 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13221200122301 its reverse (10322100212231), we get a palindrome (23543300334532).

The spelling of 13221200122301 in words is "thirteen trillion, two hundred twenty-one billion, two hundred million, one hundred twenty-two thousand, three hundred one".