11305336617271 has 32 divisors (see below), whose sum is σ = 12063415795200. Its totient is φ = 10577159160960.

The previous prime is 11305336617151. The next prime is 11305336617277. The reversal of 11305336617271 is 17271663350311.

It is a happy number.

It is not a de Polignac number, because 11305336617271 - 2⁹ = 11305336616759 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11305336617277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112396436 + ... + 1112406598.

It is an arithmetic number, because the mean of its divisors is an integer number (376981743600).

Almost surely, 2^{11305336617271} is an apocalyptic number.

11305336617271 is a deficient number, since it is larger than the sum of its proper divisors (758079177929).

11305336617271 is a wasteful number, since it uses less digits than its factorization.

11305336617271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19479.

The product of its (nonzero) digits is 476280, while the sum is 46.

Adding to 11305336617271 its reverse (17271663350311), we get a palindrome (28576999967582).

The spelling of 11305336617271 in words is "eleven trillion, three hundred five billion, three hundred thirty-six million, six hundred seventeen thousand, two hundred seventy-one".