13606541831313 has 24 divisors (see below), whose sum is σ = 19662177842216. Its totient is φ = 9067205318400.

The previous prime is 13606541831287. The next prime is 13606541831317. The reversal of 13606541831313 is 31313814560631.

13606541831313 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 6 + 541 + 83 + 13 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2487471517584 + 11119070313729 = 1577172^2 + 3334527^2 .

It is not a de Polignac number, because 13606541831313 - 2¹⁰ = 13606541830289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13606541831317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222077103 + ... + 222138363.

Almost surely, 2^{13606541831313} is an apocalyptic number.

It is an amenable number.

13606541831313 is a deficient number, since it is larger than the sum of its proper divisors (6055636010903).

13606541831313 is a wasteful number, since it uses less digits than its factorization.

13606541831313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71265 (or 71262 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13606541831313 in words is "thirteen trillion, six hundred six billion, five hundred forty-one million, eight hundred thirty-one thousand, three hundred thirteen".