13113110313 has 48 divisors (see below), whose sum is σ = 20176490880. Its totient is φ = 8188857600.

The previous prime is 13113110303. The next prime is 13113110341. The reversal of 13113110313 is 31301131131.

13113110313 is a `hidden beast` number, since 1 + 311 + 31 + 10 + 313 = 666.

13113110313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13113110313 - 2⁶ = 13113110249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13113110303) 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 47 ways as a sum of consecutive naturals, for example, 3429943 + ... + 3433763.

It is an arithmetic number, because the mean of its divisors is an integer number (420343560).

Almost surely, 2^13113110313 is an apocalyptic number.

It is an amenable number.

13113110313 is a deficient number, since it is larger than the sum of its proper divisors (7063380567).

13113110313 is a wasteful number, since it uses less digits than its factorization.

13113110313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4187 counting only the distinct ones).

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

Adding to 13113110313 its reverse (31301131131), we get a palindrome (44414241444).

The spelling of 13113110313 in words is "thirteen billion, one hundred thirteen million, one hundred ten thousand, three hundred thirteen".