1320320313 has 24 divisors (see below), whose sum is σ = 2143132992. Its totient is φ = 777176928.

The previous prime is 1320320269. The next prime is 1320320327. The reversal of 1320320313 is 3130230231.

1320320313 is a `hidden beast` number, since 1 + 32 + 0 + 320 + 313 = 666.

It is not a de Polignac number, because 1320320313 - 2¹⁸ = 1320058169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1320320383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242631 + ... + 248012.

It is an arithmetic number, because the mean of its divisors is an integer number (89297208).

Almost surely, 2^1320320313 is an apocalyptic number.

1320320313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1320320313 is a deficient number, since it is larger than the sum of its proper divisors (822812679).

1320320313 is a wasteful number, since it uses less digits than its factorization.

1320320313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490685 (or 490682 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1320320313 is about 36336.2121443609. The cubic root of 1320320313 is about 1097.0500333529.

Adding to 1320320313 its reverse (3130230231), we get a palindrome (4450550544).

The spelling of 1320320313 in words is "one billion, three hundred twenty million, three hundred twenty thousand, three hundred thirteen".