13101313233321 has 24 divisors (see below), whose sum is σ = 20058328316520. Its totient is φ = 8211805894656.

The previous prime is 13101313233317. The next prime is 13101313233329. The reversal of 13101313233321 is 12333231310131.

13101313233321 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 3 + 1 + 323 + 332 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2671410458025 + 10429902775296 = 1634445^2 + 3229536^2 .

It is not a de Polignac number, because 13101313233321 - 2² = 13101313233317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13101313233329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44780476 + ... + 45072093.

It is an arithmetic number, because the mean of its divisors is an integer number (835763679855).

Almost surely, 2^{13101313233321} is an apocalyptic number.

It is an amenable number.

13101313233321 is a deficient number, since it is larger than the sum of its proper divisors (6957015083199).

13101313233321 is a wasteful number, since it uses less digits than its factorization.

13101313233321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89853545 (or 89853542 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13101313233321 its reverse (12333231310131), we get a palindrome (25434544543452).

The spelling of 13101313233321 in words is "thirteen trillion, one hundred one billion, three hundred thirteen million, two hundred thirty-three thousand, three hundred twenty-one".