13300200313 has 8 divisors (see below), whose sum is σ = 13781291400. Its totient is φ = 12820606848.

The previous prime is 13300200311. The next prime is 13300200341. The reversal of 13300200313 is 31300200331.

13300200313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 54952569 + 13245247744 = 7413^2 + 115088^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13300200313 - 2¹ = 13300200311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13300200311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 356308 + ... + 391861.

It is an arithmetic number, because the mean of its divisors is an integer number (1722661425).

Almost surely, 2^13300200313 is an apocalyptic number.

It is an amenable number.

13300200313 is a deficient number, since it is larger than the sum of its proper divisors (481091087).

13300200313 is an equidigital number, since it uses as much as digits as its factorization.

13300200313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748811.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13300200313 its reverse (31300200331), we get a palindrome (44600400644).

The spelling of 13300200313 in words is "thirteen billion, three hundred million, two hundred thousand, three hundred thirteen".