13221083617 has 48 divisors (see below), whose sum is σ = 16628094720. Its totient is φ = 10442138112.

The previous prime is 13221083611. The next prime is 13221083663. The reversal of 13221083617 is 71638012231.

It is not a de Polignac number, because 13221083617 - 2¹¹ = 13221081569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13221083611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18036583 + ... + 18037315.

It is an arithmetic number, because the mean of its divisors is an integer number (346418640).

Almost surely, 2^13221083617 is an apocalyptic number.

13221083617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13221083617 is a deficient number, since it is larger than the sum of its proper divisors (3407011103).

13221083617 is a wasteful number, since it uses less digits than its factorization.

13221083617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

Adding to 13221083617 its reverse (71638012231), we get a palindrome (84859095848).

The spelling of 13221083617 in words is "thirteen billion, two hundred twenty-one million, eighty-three thousand, six hundred seventeen".