13201300013 has 12 divisors (see below), whose sum is σ = 14714902944. Its totient is φ = 11832143400.

The previous prime is 13201299971. The next prime is 13201300027. The reversal of 13201300013 is 31000310231.

It is not a de Polignac number, because 13201300013 - 2¹² = 13201295917 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 (13201300213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 759731 + ... + 776912.

It is an arithmetic number, because the mean of its divisors is an integer number (1226241912).

Almost surely, 2^13201300013 is an apocalyptic number.

It is an amenable number.

13201300013 is a deficient number, since it is larger than the sum of its proper divisors (1513602931).

13201300013 is a wasteful number, since it uses less digits than its factorization.

13201300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536736 (or 1536725 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13201300013 its reverse (31000310231), we get a palindrome (44201610244).

The spelling of 13201300013 in words is "thirteen billion, two hundred one million, three hundred thousand, thirteen".