13105113 has 16 divisors (see below), whose sum is σ = 21144960. Its totient is φ = 7047936.

The previous prime is 13105093. The next prime is 13105121. The reversal of 13105113 is 31150131.

It is not a de Polignac number, because 13105113 - 2⁶ = 13105049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13105092 and 13105101.

It is not an unprimeable number, because it can be changed into a prime (13105123) 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 15 ways as a sum of consecutive naturals, for example, 17998 + ... + 18711.

It is an arithmetic number, because the mean of its divisors is an integer number (1321560).

Almost surely, 2^13105113 is an apocalyptic number.

It is an amenable number.

13105113 is a deficient number, since it is larger than the sum of its proper divisors (8039847).

13105113 is a wasteful number, since it uses less digits than its factorization.

13105113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36736.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 13105113 is about 3620.0984793235. The cubic root of 13105113 is about 235.7655012941.

Adding to 13105113 its reverse (31150131), we get a palindrome (44255244).

The spelling of 13105113 in words is "thirteen million, one hundred five thousand, one hundred thirteen".