13105041351345 has 24 divisors (see below), whose sum is σ = 22716855749952. Its totient is φ = 6988909005600.

The previous prime is 13105041351319. The next prime is 13105041351371. The reversal of 13105041351345 is 54315314050131.

13105041351345 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 504 + 13 + 5 + 134 + 5 = 666.

13105041351345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13105041351319) and next prime (13105041351371).

It is not a de Polignac number, because 13105041351345 - 2¹¹ = 13105041349297 is a prime.

It is a Curzon number.

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, 8586591 + ... + 9996980.

It is an arithmetic number, because the mean of its divisors is an integer number (946535656248).

Almost surely, 2^{13105041351345} is an apocalyptic number.

13105041351345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13105041351345 is a deficient number, since it is larger than the sum of its proper divisors (9611814398607).

13105041351345 is a wasteful number, since it uses less digits than its factorization.

13105041351345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18599253 (or 18599250 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 13105041351345 in words is "thirteen trillion, one hundred five billion, forty-one million, three hundred fifty-one thousand, three hundred forty-five".