13000260013 has 4 divisors (see below), whose sum is σ = 14000280028. Its totient is φ = 12000240000.

The previous prime is 13000259981. The next prime is 13000260061. The reversal of 13000260013 is 31006200031.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31006200031 = 31 ⋅1000200001.

It can be written as a sum of positive squares in 2 ways, for example, as 4899720004 + 8100540009 = 69998^2 + 90003^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000260013 - 2⁵ = 13000259981 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 (13000260073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500009988 + ... + 500010013.

It is an arithmetic number, because the mean of its divisors is an integer number (3500070007).

Almost surely, 2^13000260013 is an apocalyptic number.

13000260013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13000260013 is a deficient number, since it is larger than the sum of its proper divisors (1000020015).

13000260013 is a wasteful number, since it uses less digits than its factorization.

13000260013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000020014.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13000260013 its reverse (31006200031), we get a palindrome (44006460044).

The spelling of 13000260013 in words is "thirteen billion, two hundred sixty thousand, thirteen".