13013013301 has 12 divisors (see below), whose sum is σ = 13656469932. Its totient is φ = 12398667776.

The previous prime is 13013013263. The next prime is 13013013359. The reversal of 13013013301 is 10331031031.

13013013301 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 2 ways, for example, as 7094019076 + 5918994225 = 84226^2 + 76935^2 .

It is not a de Polignac number, because 13013013301 - 2¹⁷ = 13012882229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013019301) 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 11 ways as a sum of consecutive naturals, for example, 88095 + ... + 183811.

It is an arithmetic number, because the mean of its divisors is an integer number (1138039161).

Almost surely, 2^13013013301 is an apocalyptic number.

It is an amenable number.

13013013301 is a deficient number, since it is larger than the sum of its proper divisors (643456631).

13013013301 is an equidigital number, since it uses as much as digits as its factorization.

13013013301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96020 (or 95997 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13013013301 its reverse (10331031031), we get a palindrome (23344044332).

The spelling of 13013013301 in words is "thirteen billion, thirteen million, thirteen thousand, three hundred one".