13000313013 has 16 divisors (see below), whose sum is σ = 17481070080. Its totient is φ = 8593496816.

The previous prime is 13000313009. The next prime is 13000313021. The reversal of 13000313013 is 31031300031.

It is a cyclic number.

It is not a de Polignac number, because 13000313013 - 2² = 13000313009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13000312983 and 13000313001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000313003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151456 + ... + 221222.

It is an arithmetic number, because the mean of its divisors is an integer number (1092566880).

Almost surely, 2^13000313013 is an apocalyptic number.

It is an amenable number.

13000313013 is a deficient number, since it is larger than the sum of its proper divisors (4480757067).

13000313013 is a wasteful number, since it uses less digits than its factorization.

13000313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70296.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 13000313013 its reverse (31031300031), we get a palindrome (44031613044).

The spelling of 13000313013 in words is "thirteen billion, three hundred thirteen thousand, thirteen".