13105323325305 has 24 divisors (see below), whose sum is σ = 22749447574152. Its totient is φ = 6979181524224.

The previous prime is 13105323325271. The next prime is 13105323325361. The reversal of 13105323325305 is 50352332350131.

It is a happy number.

13105323325305 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 3 + 23 + 325 + 305 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6989065091856 + 6116258233449 = 2643684^2 + 2473107^2 .

It is not a de Polignac number, because 13105323325305 - 2²⁰ = 13105322276729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13105323325305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215057724 + ... + 215118653.

It is an arithmetic number, because the mean of its divisors is an integer number (947893648923).

Almost surely, 2^{13105323325305} is an apocalyptic number.

13105323325305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13105323325305 is a deficient number, since it is larger than the sum of its proper divisors (9644124248847).

13105323325305 is a wasteful number, since it uses less digits than its factorization.

13105323325305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430177065 (or 430177062 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 36.

Adding to 13105323325305 its reverse (50352332350131), we get a palindrome (63457655675436).

The spelling of 13105323325305 in words is "thirteen trillion, one hundred five billion, three hundred twenty-three million, three hundred twenty-five thousand, three hundred five".