13300313 has 4 divisors (see below), whose sum is σ = 14323428. Its totient is φ = 12277200.

The previous prime is 13300291. The next prime is 13300319. The reversal of 13300313 is 31300331.

13300313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31300331 = 109 ⋅287159.

It can be written as a sum of positive squares in 2 ways, for example, as 4609609 + 8690704 = 2147^2 + 2948^2 .

It is not a de Polignac number, because 13300313 - 2¹⁸ = 13038169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13300319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 511538 + ... + 511563.

It is an arithmetic number, because the mean of its divisors is an integer number (3580857).

Almost surely, 2^13300313 is an apocalyptic number.

13300313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13300313 is a deficient number, since it is larger than the sum of its proper divisors (1023115).

13300313 is a wasteful number, since it uses less digits than its factorization.

13300313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023114.

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 13300313 is about 3646.9594184745. The cubic root of 13300313 is about 236.9303088127.

Adding to 13300313 its reverse (31300331), we get a palindrome (44600644).

The spelling of 13300313 in words is "thirteen million, three hundred thousand, three hundred thirteen".