1313224431221 has 8 divisors (see below), whose sum is σ = 1342976251320. Its totient is φ = 1283656833472.

The previous prime is 1313224431173. The next prime is 1313224431247. The reversal of 1313224431221 is 1221344223131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 142902900625 + 1170321530596 = 378025^2 + 1081814^2 .

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 1313224431221 - 2⁶ = 1313224431157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313224431271) 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, 46041170 + ... + 46069683.

It is an arithmetic number, because the mean of its divisors is an integer number (167872031415).

Almost surely, 2^{1313224431221} is an apocalyptic number.

It is an amenable number.

1313224431221 is a deficient number, since it is larger than the sum of its proper divisors (29751820099).

1313224431221 is an equidigital number, since it uses as much as digits as its factorization.

1313224431221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92111175.

The product of its digits is 6912, while the sum is 29.

Adding to 1313224431221 its reverse (1221344223131), we get a palindrome (2534568654352).

The spelling of 1313224431221 in words is "one trillion, three hundred thirteen billion, two hundred twenty-four million, four hundred thirty-one thousand, two hundred twenty-one".