13631013305 has 96 divisors (see below), whose sum is σ = 21268525824. Its totient is φ = 8305887744.

The previous prime is 13631013293. The next prime is 13631013401. The reversal of 13631013305 is 50331013631.

It is a happy number.

13631013305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13631013305 - 2⁶ = 13631013241 is a prime.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 12137474 + ... + 12138596.

It is an arithmetic number, because the mean of its divisors is an integer number (221547144).

Almost surely, 2^13631013305 is an apocalyptic number.

It is an amenable number.

13631013305 is a deficient number, since it is larger than the sum of its proper divisors (7637512519).

13631013305 is a wasteful number, since it uses less digits than its factorization.

13631013305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 26.

Adding to 13631013305 its reverse (50331013631), we get a palindrome (63962026936).

The spelling of 13631013305 in words is "thirteen billion, six hundred thirty-one million, thirteen thousand, three hundred five".