13020313 has 4 divisors (see below), whose sum is σ = 13028148. Its totient is φ = 13012480.

The previous prime is 13020307. The next prime is 13020331. The reversal of 13020313 is 31302031.

13020313 is digitally balanced in base 2, 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 a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 31302031 = 163 ⋅192037.

It can be written as a sum of positive squares in 2 ways, for example, as 3948169 + 9072144 = 1987^2 + 3012^2 .

It is a cyclic number.

It is not a de Polignac number, because 13020313 - 2⁹ = 13019801 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13020293 and 13020302.

It is not an unprimeable number, because it can be changed into a prime (13020373) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 328 + ... + 5113.

It is an arithmetic number, because the mean of its divisors is an integer number (3257037).

Almost surely, 2^13020313 is an apocalyptic number.

It is an amenable number.

13020313 is a deficient number, since it is larger than the sum of its proper divisors (7835).

13020313 is an equidigital number, since it uses as much as digits as its factorization.

13020313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7834.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 13020313 is about 3608.3670822132. The cubic root of 13020313 is about 235.2558734031.

Adding to 13020313 its reverse (31302031), we get a palindrome (44322344).

It can be divided in two parts, 1302031 and 3, that multiplied together give a palindrome (3906093).

The spelling of 13020313 in words is "thirteen million, twenty thousand, three hundred thirteen".