13111310313 has 12 divisors (see below), whose sum is σ = 18960772740. Its totient is φ = 8730621216.

The previous prime is 13111310291. The next prime is 13111310327. The reversal of 13111310313 is 31301311131.

13111310313 is a `hidden beast` number, since 1 + 31 + 11 + 310 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5747610969 + 7363699344 = 75813^2 + 85812^2 .

It is not a de Polignac number, because 13111310313 - 2⁵ = 13111310281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13111310363) 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, 846258 + ... + 861611.

It is an arithmetic number, because the mean of its divisors is an integer number (1580064395).

Almost surely, 2^13111310313 is an apocalyptic number.

It is an amenable number.

13111310313 is a deficient number, since it is larger than the sum of its proper divisors (5849462427).

13111310313 is a wasteful number, since it uses less digits than its factorization.

13111310313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708728 (or 1708725 counting only the distinct ones).

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

Adding to 13111310313 its reverse (31301311131), we get a palindrome (44412621444).

The spelling of 13111310313 in words is "thirteen billion, one hundred eleven million, three hundred ten thousand, three hundred thirteen".