1320111313 has 16 divisors (see below), whose sum is σ = 1350749520. Its totient is φ = 1289967616.

The previous prime is 1320111301. The next prime is 1320111329. The reversal of 1320111313 is 3131110231.

It can be written as a sum of positive squares in 8 ways, for example, as 703681729 + 616429584 = 26527^2 + 24828^2 .

It is a cyclic number.

It is not a de Polignac number, because 1320111313 - 2⁵ = 1320111281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1320111343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4164231 + ... + 4164547.

It is an arithmetic number, because the mean of its divisors is an integer number (84421845).

Almost surely, 2^1320111313 is an apocalyptic number.

It is an amenable number.

1320111313 is a deficient number, since it is larger than the sum of its proper divisors (30638207).

1320111313 is a wasteful number, since it uses less digits than its factorization.

1320111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1320111313 is about 36333.3361116207. The cubic root of 1320111313 is about 1096.9921444820.

Adding to 1320111313 its reverse (3131110231), we get a palindrome (4451221544).

The spelling of 1320111313 in words is "one billion, three hundred twenty million, one hundred eleven thousand, three hundred thirteen".