13013353 has 2 divisors, whose sum is σ = 13013354. Its totient is φ = 13013352.

The previous prime is 13013339. The next prime is 13013369. The reversal of 13013353 is 35331031.

13013353 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12902464 + 110889 = 3592^2 + 333^2 .

It is an emirp because it is prime and its reverse (35331031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13013353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13013353.

It is not a weakly prime, because it can be changed into another prime (13013303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506676 + 6506677.

It is an arithmetic number, because the mean of its divisors is an integer number (6506677).

Almost surely, 2^13013353 is an apocalyptic number.

It is an amenable number.

13013353 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013353 is an equidigital number, since it uses as much as digits as its factorization.

13013353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 405, while the sum is 19.

The square root of 13013353 is about 3607.4025281357. The cubic root of 13013353 is about 235.2139473060.

Adding to 13013353 its reverse (35331031), we get a palindrome (48344384).

It can be divided in two parts, 13013 and 353, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 13013353 in words is "thirteen million, thirteen thousand, three hundred fifty-three".