13423435311105 has 12 divisors (see below), whose sum is σ = 23267287872660. Its totient is φ = 7159165499232.

The previous prime is 13423435311079. The next prime is 13423435311119. The reversal of 13423435311105 is 50111353432431.

13423435311105 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 3 + 4 + 3 + 531 + 110 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2508552313281 + 10914882997824 = 1583841^2 + 3303768^2 .

It is not a de Polignac number, because 13423435311105 - 2¹³ = 13423435302913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13423435311105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149149281190 + ... + 149149281279.

It is an arithmetic number, because the mean of its divisors is an integer number (1938940656055).

Almost surely, 2^{13423435311105} is an apocalyptic number.

13423435311105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13423435311105 is a deficient number, since it is larger than the sum of its proper divisors (9843852561555).

13423435311105 is a wasteful number, since it uses less digits than its factorization.

13423435311105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298298562480 (or 298298562477 counting only the distinct ones).

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

Adding to 13423435311105 its reverse (50111353432431), we get a palindrome (63534788743536).

The spelling of 13423435311105 in words is "thirteen trillion, four hundred twenty-three billion, four hundred thirty-five million, three hundred eleven thousand, one hundred five".