13320020313 has 12 divisors (see below), whose sum is σ = 19760030628. Its totient is φ = 8640012960.

The previous prime is 13320020303. The next prime is 13320020321. The reversal of 13320020313 is 31302002331.

13320020313 is a `hidden beast` number, since 1 + 332 + 0 + 0 + 20 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6582401424 + 6737618889 = 81132^2 + 82083^2 .

It is not a de Polignac number, because 13320020313 - 2⁸ = 13320020057 is a prime.

It is a super-2 number, since 2×13320020313² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13320020303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19999698 + ... + 20000363.

It is an arithmetic number, because the mean of its divisors is an integer number (1646669219).

Almost surely, 2^13320020313 is an apocalyptic number.

It is an amenable number.

13320020313 is a deficient number, since it is larger than the sum of its proper divisors (6440010315).

13320020313 is a wasteful number, since it uses less digits than its factorization.

13320020313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40000104 (or 40000101 counting only the distinct ones).

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

Adding to 13320020313 its reverse (31302002331), we get a palindrome (44622022644).

The spelling of 13320020313 in words is "thirteen billion, three hundred twenty million, twenty thousand, three hundred thirteen".