13105334234205 has 40 divisors (see below), whose sum is σ = 23493232224000. Its totient is φ = 6989301199584.

The previous prime is 13105334234173. The next prime is 13105334234261. The reversal of 13105334234205 is 50243243350131.

13105334234205 is a `hidden beast` number, since 1 + 3 + 105 + 3 + 342 + 3 + 4 + 205 = 666.

It is not a de Polignac number, because 13105334234205 - 2⁵ = 13105334234173 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13105334234205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13477996 + ... + 14417594.

It is an arithmetic number, because the mean of its divisors is an integer number (587330805600).

Almost surely, 2^{13105334234205} is an apocalyptic number.

13105334234205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13105334234205 is a deficient number, since it is larger than the sum of its proper divisors (10387897989795).

13105334234205 is an equidigital number, since it uses as much as digits as its factorization.

13105334234205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974055 (or 974046 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 13105334234205 its reverse (50243243350131), we get a palindrome (63348577584336).

The spelling of 13105334234205 in words is "thirteen trillion, one hundred five billion, three hundred thirty-four million, two hundred thirty-four thousand, two hundred five".