1311320313 has 32 divisors (see below), whose sum is σ = 2061936000. Its totient is φ = 820804608.

The previous prime is 1311320299. The next prime is 1311320323. The reversal of 1311320313 is 3130231131.

It is a happy number.

1311320313 is a `hidden beast` number, since 1 + 31 + 1 + 320 + 313 = 666.

It is not a de Polignac number, because 1311320313 - 2⁵ = 1311320281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1311320323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200113 + ... + 206561.

It is an arithmetic number, because the mean of its divisors is an integer number (64435500).

Almost surely, 2^1311320313 is an apocalyptic number.

It is an amenable number.

1311320313 is a deficient number, since it is larger than the sum of its proper divisors (750615687).

1311320313 is a wasteful number, since it uses less digits than its factorization.

1311320313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6918 (or 6912 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1311320313 is about 36212.1569780095. The cubic root of 1311320313 is about 1094.5516573239.

Adding to 1311320313 its reverse (3130231131), we get a palindrome (4441551444).

The spelling of 1311320313 in words is "one billion, three hundred eleven million, three hundred twenty thousand, three hundred thirteen".