13131110313 has 28 divisors (see below), whose sum is σ = 19789879860. Its totient is φ = 8708622336.

The previous prime is 13131110281. The next prime is 13131110323. The reversal of 13131110313 is 31301113131.

13131110313 is a `hidden beast` number, since 1 + 31 + 311 + 10 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3264065424 + 9867044889 = 57132^2 + 99333^2 .

It is not a de Polignac number, because 13131110313 - 2⁵ = 13131110281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13131110323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 94033 + ... + 187361.

Almost surely, 2^13131110313 is an apocalyptic number.

It is an amenable number.

13131110313 is a deficient number, since it is larger than the sum of its proper divisors (6658769547).

13131110313 is an frugal number, since it uses more digits than its factorization.

13131110313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93540 (or 93525 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 13131110313 its reverse (31301113131), we get a palindrome (44432223444).

The spelling of 13131110313 in words is "thirteen billion, one hundred thirty-one million, one hundred ten thousand, three hundred thirteen".