1320440310313 has 8 divisors (see below), whose sum is σ = 1322168124200. Its totient is φ = 1318713177600.

The previous prime is 1320440310271. The next prime is 1320440310359. The reversal of 1320440310313 is 3130130440231.

It can be written as a sum of positive squares in 4 ways, for example, as 92946936384 + 1227493373929 = 304872^2 + 1107923^2 .

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 1320440310313 - 2²⁹ = 1319903439401 is a prime.

It is a super-2 number, since 2×1320440310313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1320440310373) 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, 3768613 + ... + 4104061.

It is an arithmetic number, because the mean of its divisors is an integer number (165271015525).

Almost surely, 2^{1320440310313} is an apocalyptic number.

It is an amenable number.

1320440310313 is a deficient number, since it is larger than the sum of its proper divisors (1727813887).

1320440310313 is an equidigital number, since it uses as much as digits as its factorization.

1320440310313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340587.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1320440310313 its reverse (3130130440231), we get a palindrome (4450570750544).

The spelling of 1320440310313 in words is "one trillion, three hundred twenty billion, four hundred forty million, three hundred ten thousand, three hundred thirteen".