13106505113 has 8 divisors (see below), whose sum is σ = 14944974408. Its totient is φ = 11386646784.

The previous prime is 13106505059. The next prime is 13106505149. The reversal of 13106505113 is 31150560131.

13106505113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1305593689 + 11800911424 = 36133^2 + 108632^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13106505113 - 2¹⁸ = 13106242969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13106505913) 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 7 ways as a sum of consecutive naturals, for example, 29652506 + ... + 29652947.

It is an arithmetic number, because the mean of its divisors is an integer number (1868121801).

Almost surely, 2^13106505113 is an apocalyptic number.

13106505113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13106505113 is a deficient number, since it is larger than the sum of its proper divisors (1838469295).

13106505113 is a wasteful number, since it uses less digits than its factorization.

13106505113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59305483.

The product of its (nonzero) digits is 1350, while the sum is 26.

The spelling of 13106505113 in words is "thirteen billion, one hundred six million, five hundred five thousand, one hundred thirteen".