13313221322301 has 24 divisors (see below), whose sum is σ = 19378968368760. Its totient is φ = 8806878660096.

The previous prime is 13313221322279. The next prime is 13313221322327. The reversal of 13313221322301 is 10322312231331.

13313221322301 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 32 + 2 + 1 + 322 + 301 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2691325556676 + 10621895765625 = 1640526^2 + 3259125^2 .

It is not a de Polignac number, because 13313221322301 - 2¹¹ = 13313221320253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313221322351) 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, 508881 + ... + 5185113.

It is an arithmetic number, because the mean of its divisors is an integer number (807457015365).

Almost surely, 2^{13313221322301} is an apocalyptic number.

It is an amenable number.

13313221322301 is a deficient number, since it is larger than the sum of its proper divisors (6065747046459).

13313221322301 is a wasteful number, since it uses less digits than its factorization.

13313221322301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4678685 (or 4678682 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13313221322301 its reverse (10322312231331), we get a palindrome (23635533553632).

The spelling of 13313221322301 in words is "thirteen trillion, three hundred thirteen billion, two hundred twenty-one million, three hundred twenty-two thousand, three hundred one".