13221210341313 has 48 divisors (see below), whose sum is σ = 21487445441280. Its totient is φ = 7772618823552.

The previous prime is 13221210341293. The next prime is 13221210341327. The reversal of 13221210341313 is 31314301212231.

13221210341313 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 2 + 1 + 0 + 341 + 313 = 666.

13221210341313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13221210341313 - 2⁶ = 13221210341249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13221210341393) 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, 937533 + ... + 5226986.

It is an arithmetic number, because the mean of its divisors is an integer number (447655113360).

Almost surely, 2^{13221210341313} is an apocalyptic number.

13221210341313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13221210341313 is a deficient number, since it is larger than the sum of its proper divisors (8266235099967).

13221210341313 is a wasteful number, since it uses less digits than its factorization.

13221210341313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6165358 (or 6165355 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13221210341313 its reverse (31314301212231), we get a palindrome (44535511553544).

The spelling of 13221210341313 in words is "thirteen trillion, two hundred twenty-one billion, two hundred ten million, three hundred forty-one thousand, three hundred thirteen".