13221305013 has 8 divisors (see below), whose sum is σ = 20146750528. Its totient is φ = 7555031424.

The previous prime is 13221304969. The next prime is 13221305017. The reversal of 13221305013 is 31050312231.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13221305013 - 2¹⁷ = 13221173941 is a prime.

It is a super-3 number, since 3×13221305013³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 629585953 = 13221305013 / (1 + 3 + 2 + 2 + 1 + 3 + 0 + 5 + 0 + 1 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221305017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314792956 + ... + 314792997.

It is an arithmetic number, because the mean of its divisors is an integer number (2518343816).

Almost surely, 2^13221305013 is an apocalyptic number.

It is an amenable number.

13221305013 is a deficient number, since it is larger than the sum of its proper divisors (6925445515).

13221305013 is an equidigital number, since it uses as much as digits as its factorization.

13221305013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629585963.

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 13221305013 its reverse (31050312231), we get a palindrome (44271617244).

The spelling of 13221305013 in words is "thirteen billion, two hundred twenty-one million, three hundred five thousand, thirteen".