13000300313 has 32 divisors (see below), whose sum is σ = 17466113280. Its totient is φ = 9344885760.

The previous prime is 13000300303. The next prime is 13000300319. The reversal of 13000300313 is 31300300031.

It is not a de Polignac number, because 13000300313 - 2⁶ = 13000300249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13000300319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2087981 + ... + 2094197.

It is an arithmetic number, because the mean of its divisors is an integer number (545816040).

Almost surely, 2^13000300313 is an apocalyptic number.

13000300313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13000300313 is a deficient number, since it is larger than the sum of its proper divisors (4465812967).

13000300313 is a wasteful number, since it uses less digits than its factorization.

13000300313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8337.

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 13000300313 its reverse (31300300031), we get a palindrome (44300600344).

It can be divided in two parts, 13000 and 300313, that added together give a palindrome (313313).

The spelling of 13000300313 in words is "thirteen billion, three hundred thousand, three hundred thirteen".