13221000013 has 4 divisors (see below), whose sum is σ = 14238000028. Its totient is φ = 12204000000.

The previous prime is 13220999959. The next prime is 13221000029. The reversal of 13221000013 is 31000012231.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 626100484 + 12594899529 = 25022^2 + 112227^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13221000013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 1017000001 = 13221000013 / (1 + 3 + 2 + 2 + 1 + 0 + 0 + 0 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13220999957 and 13221000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221000613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 508499988 + ... + 508500013.

It is an arithmetic number, because the mean of its divisors is an integer number (3559500007).

Almost surely, 2^13221000013 is an apocalyptic number.

13221000013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13221000013 is a deficient number, since it is larger than the sum of its proper divisors (1017000015).

13221000013 is a wasteful number, since it uses less digits than its factorization.

13221000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017000014.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13221000013 its reverse (31000012231), we get a palindrome (44221012244).

The spelling of 13221000013 in words is "thirteen billion, two hundred twenty-one million, thirteen", and thus it is an aban number.