13221013 has 8 divisors (see below), whose sum is σ = 14729400. Its totient is φ = 11782848.

The previous prime is 13221011. The next prime is 13221029. The reversal of 13221013 is 31012231.

It can be written as a sum of positive squares in 4 ways, for example, as 3598609 + 9622404 = 1897^2 + 3102^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 13221013 - 2¹ = 13221011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13220984 and 13221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17158 + ... + 17911.

It is an arithmetic number, because the mean of its divisors is an integer number (1841175).

Almost surely, 2^13221013 is an apocalyptic number.

13221013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13221013 is a deficient number, since it is larger than the sum of its proper divisors (1508387).

13221013 is a wasteful number, since it uses less digits than its factorization.

13221013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35111.

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

The square root of 13221013 is about 3636.0710939144. The cubic root of 13221013 is about 236.4584893778.

Adding to 13221013 its reverse (31012231), we get a palindrome (44233244).

The spelling of 13221013 in words is "thirteen million, two hundred twenty-one thousand, thirteen".