10320320313 has 12 divisors (see below), whose sum is σ = 14943582420. Its totient is φ = 6863389056.

The previous prime is 10320320303. The next prime is 10320320321. The reversal of 10320320313 is 31302302301.

10320320313 is a `hidden beast` number, since 1 + 0 + 32 + 0 + 320 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9034882704 + 1285437609 = 95052^2 + 35853^2 .

It is not a de Polignac number, because 10320320313 - 2¹⁸ = 10320058169 is a prime.

It is a super-2 number, since 2×10320320313² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10320320303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1398156 + ... + 1405517.

It is an arithmetic number, because the mean of its divisors is an integer number (1245298535).

Almost surely, 2^10320320313 is an apocalyptic number.

It is an amenable number.

10320320313 is a deficient number, since it is larger than the sum of its proper divisors (4623262107).

10320320313 is a wasteful number, since it uses less digits than its factorization.

10320320313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804088 (or 2804085 counting only the distinct ones).

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

Adding to 10320320313 its reverse (31302302301), we get a palindrome (41622622614).

The spelling of 10320320313 in words is "ten billion, three hundred twenty million, three hundred twenty thousand, three hundred thirteen".