13331311231313 has 8 divisors (see below), whose sum is σ = 13377858499368. Its totient is φ = 13284821752704.

The previous prime is 13331311231297. The next prime is 13331311231333. The reversal of 13331311231313 is 31313211313331.

It can be written as a sum of positive squares in 4 ways, for example, as 379575513409 + 12951735717904 = 616097^2 + 3598852^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13331311231313 - 2⁴ = 13331311231297 is a prime.

It is a super-2 number, since 2×13331311231313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13331311231333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13985156 + ... + 14907957.

It is an arithmetic number, because the mean of its divisors is an integer number (1672232312421).

Almost surely, 2^{13331311231313} is an apocalyptic number.

It is an amenable number.

13331311231313 is a deficient number, since it is larger than the sum of its proper divisors (46547268055).

13331311231313 is a wasteful number, since it uses less digits than its factorization.

13331311231313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28894723.

The product of its digits is 4374, while the sum is 29.

Adding to 13331311231313 its reverse (31313211313331), we get a palindrome (44644522544644).

The spelling of 13331311231313 in words is "thirteen trillion, three hundred thirty-one billion, three hundred eleven million, two hundred thirty-one thousand, three hundred thirteen".