13105323544113 has 12 divisors (see below), whose sum is σ = 19752951429120. Its totient is φ = 8357017912056.

The previous prime is 13105323544111. The next prime is 13105323544127. The reversal of 13105323544113 is 31144532350131.

13105323544113 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 3 + 235 + 4 + 411 + 3 = 666.

It is not a de Polignac number, because 13105323544113 - 2¹ = 13105323544111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13105323544111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31655370673 + ... + 31655371086.

It is an arithmetic number, because the mean of its divisors is an integer number (1646079285760).

Almost surely, 2^{13105323544113} is an apocalyptic number.

It is an amenable number.

13105323544113 is a deficient number, since it is larger than the sum of its proper divisors (6647627885007).

13105323544113 is a wasteful number, since it uses less digits than its factorization.

13105323544113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63310741788 (or 63310741785 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 13105323544113 its reverse (31144532350131), we get a palindrome (44249855894244).

The spelling of 13105323544113 in words is "thirteen trillion, one hundred five billion, three hundred twenty-three million, five hundred forty-four thousand, one hundred thirteen".