13201313013 has 112 divisors (see below), whose sum is σ = 23805225216. Its totient is φ = 7154231040.

The previous prime is 13201313009. The next prime is 13201313029. The reversal of 13201313013 is 31031310231.

It is a happy number.

13201313013 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 13201313013 - 2² = 13201313009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201313813) 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 111 ways as a sum of consecutive naturals, for example, 16079143 + ... + 16079963.

Almost surely, 2^13201313013 is an apocalyptic number.

It is an amenable number.

13201313013 is a deficient number, since it is larger than the sum of its proper divisors (10603912203).

13201313013 is an equidigital number, since it uses as much as digits as its factorization.

13201313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13201313013 its reverse (31031310231), we get a palindrome (44232623244).

The spelling of 13201313013 in words is "thirteen billion, two hundred one million, three hundred thirteen thousand, thirteen".