13022132321313 has 6 divisors (see below), whose sum is σ = 18809746686354. Its totient is φ = 8681421547536.

The previous prime is 13022132321293. The next prime is 13022132321321. The reversal of 13022132321313 is 31312323122031.

13022132321313 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 2 + 1 + 323 + 21 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9858796176384 + 3163336144929 = 3139872^2 + 1778577^2 .

It is not a de Polignac number, because 13022132321313 - 2⁹ = 13022132320801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13022132321113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 723451795620 + ... + 723451795637.

It is an arithmetic number, because the mean of its divisors is an integer number (3134957781059).

Almost surely, 2^{13022132321313} is an apocalyptic number.

It is an amenable number.

13022132321313 is a deficient number, since it is larger than the sum of its proper divisors (5787614365041).

13022132321313 is a wasteful number, since it uses less digits than its factorization.

13022132321313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446903591263 (or 1446903591260 counting only the distinct ones).

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

Adding to 13022132321313 its reverse (31312323122031), we get a palindrome (44334455443344).

The spelling of 13022132321313 in words is "thirteen trillion, twenty-two billion, one hundred thirty-two million, three hundred twenty-one thousand, three hundred thirteen".