13032013013 has 4 divisors (see below), whose sum is σ = 13036987788. Its totient is φ = 13027038240.

The previous prime is 13032012991. The next prime is 13032013079. The reversal of 13032013013 is 31031023031.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5733215524 + 7298797489 = 75718^2 + 85433^2 .

It is a cyclic number.

It is not a de Polignac number, because 13032013013 - 2¹⁶ = 13031947477 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13032012982 and 13032013000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032013613) 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, 2483456 + ... + 2488697.

It is an arithmetic number, because the mean of its divisors is an integer number (3259246947).

Almost surely, 2^13032013013 is an apocalyptic number.

It is an amenable number.

13032013013 is a deficient number, since it is larger than the sum of its proper divisors (4974775).

13032013013 is an equidigital number, since it uses as much as digits as its factorization.

13032013013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974774.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13032013013 its reverse (31031023031), we get a palindrome (44063036044).

The spelling of 13032013013 in words is "thirteen billion, thirty-two million, thirteen thousand, thirteen".