13221020013 has 32 divisors (see below), whose sum is σ = 18129018240. Its totient is φ = 8567581440.

The previous prime is 13221019997. The next prime is 13221020041. The reversal of 13221020013 is 31002012231.

It is not a de Polignac number, because 13221020013 - 2⁴ = 13221019997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13221019974 and 13221020001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221020063) 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 31 ways as a sum of consecutive naturals, for example, 5665795 + ... + 5668127.

It is an arithmetic number, because the mean of its divisors is an integer number (566531820).

Almost surely, 2^13221020013 is an apocalyptic number.

It is an amenable number.

13221020013 is a deficient number, since it is larger than the sum of its proper divisors (4907998227).

13221020013 is a wasteful number, since it uses less digits than its factorization.

13221020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13221020013 its reverse (31002012231), we get a palindrome (44223032244).

The spelling of 13221020013 in words is "thirteen billion, two hundred twenty-one million, twenty thousand, thirteen".