13331000313 has 12 divisors (see below), whose sum is σ = 20388588948. Its totient is φ = 8364549120.

The previous prime is 13331000273. The next prime is 13331000327. The reversal of 13331000313 is 31300013331.

It can be written as a sum of positive squares in 2 ways, for example, as 11614803984 + 1716196329 = 107772^2 + 41427^2 .

It is not a de Polignac number, because 13331000313 - 2¹⁰ = 13330999289 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13331000363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43565208 + ... + 43565513.

It is an arithmetic number, because the mean of its divisors is an integer number (1699049079).

Almost surely, 2^13331000313 is an apocalyptic number.

It is an amenable number.

13331000313 is a deficient number, since it is larger than the sum of its proper divisors (7057588635).

13331000313 is a wasteful number, since it uses less digits than its factorization.

13331000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87130744 (or 87130741 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13331000313 its reverse (31300013331), we get a palindrome (44631013644).

The spelling of 13331000313 in words is "thirteen billion, three hundred thirty-one million, three hundred thirteen", and thus it is an aban number.