13303120313 has 64 divisors (see below), whose sum is σ = 17435658240. Its totient is φ = 9875561472.

The previous prime is 13303120283. The next prime is 13303120319. The reversal of 13303120313 is 31302130331.

13303120313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13303120313 - 2¹⁰ = 13303119289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13303120319) 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 63 ways as a sum of consecutive naturals, for example, 28486106 + ... + 28486572.

It is an arithmetic number, because the mean of its divisors is an integer number (272432160).

Almost surely, 2^13303120313 is an apocalyptic number.

It is an amenable number.

13303120313 is a deficient number, since it is larger than the sum of its proper divisors (4132537927).

13303120313 is a wasteful number, since it uses less digits than its factorization.

13303120313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13303120313 its reverse (31302130331), we get a palindrome (44605250644).

The spelling of 13303120313 in words is "thirteen billion, three hundred three million, one hundred twenty thousand, three hundred thirteen".