13221313010020 has 24 divisors (see below), whose sum is σ = 27764837130744. Its totient is φ = 5288510002176.

The previous prime is 13221313009937. The next prime is 13221313010027. The reversal of 13221313010020 is 2001031312231.

It can be written as a sum of positive squares in 4 ways, for example, as 1492345651456 + 11728967358564 = 1221616^2 + 3424758^2 .

It is a super-3 number, since 3×13221313010020³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13221313010020.

It is not an unprimeable number, because it can be changed into a prime (13221313010027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8449812 + ... + 9891508.

It is an arithmetic number, because the mean of its divisors is an integer number (1156868213781).

Almost surely, 2^{13221313010020} is an apocalyptic number.

13221313010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13221313010020 is an abundant number, since it is smaller than the sum of its proper divisors (14543524120724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13221313010020 is a wasteful number, since it uses less digits than its factorization.

13221313010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900239 (or 1900237 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13221313010020 its reverse (2001031312231), we get a palindrome (15222344322251).

The spelling of 13221313010020 in words is "thirteen trillion, two hundred twenty-one billion, three hundred thirteen million, ten thousand, twenty".