13032065013 has 16 divisors (see below), whose sum is σ = 19359046656. Its totient is φ = 7730173040.

The previous prime is 13032064999. The next prime is 13032065027. The reversal of 13032065013 is 31056023031.

It is a happy number.

13032065013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13032064999) and next prime (13032065027).

It is a cyclic number.

It is not a de Polignac number, because 13032065013 - 2⁹ = 13032064501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032065713) 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 15 ways as a sum of consecutive naturals, for example, 4199631 + ... + 4202732.

It is an arithmetic number, because the mean of its divisors is an integer number (1209940416).

Almost surely, 2^13032065013 is an apocalyptic number.

It is an amenable number.

13032065013 is a deficient number, since it is larger than the sum of its proper divisors (6326981643).

13032065013 is a wasteful number, since it uses less digits than its factorization.

13032065013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8402424.

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 13032065013 its reverse (31056023031), we get a palindrome (44088088044).

The spelling of 13032065013 in words is "thirteen billion, thirty-two million, sixty-five thousand, thirteen".