1313224321313 has 8 divisors (see below), whose sum is σ = 1390814272008. Its totient is φ = 1235672310784.

The previous prime is 1313224321309. The next prime is 1313224321351. The reversal of 1313224321313 is 3131234223131.

It can be written as a sum of positive squares in 4 ways, for example, as 2364196129 + 1310860125184 = 48623^2 + 1144928^2 .

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 1313224321313 - 2² = 1313224321309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1313224371313) 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, 9413756 + ... + 9552237.

It is an arithmetic number, because the mean of its divisors is an integer number (173851784001).

Almost surely, 2^{1313224321313} is an apocalyptic number.

It is an amenable number.

1313224321313 is a deficient number, since it is larger than the sum of its proper divisors (77589950695).

1313224321313 is a wasteful number, since it uses less digits than its factorization.

1313224321313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18970083.

The product of its digits is 7776, while the sum is 29.

Adding to 1313224321313 its reverse (3131234223131), we get a palindrome (4444458544444).

The spelling of 1313224321313 in words is "one trillion, three hundred thirteen billion, two hundred twenty-four million, three hundred twenty-one thousand, three hundred thirteen".