13032032013 has 72 divisors (see below), whose sum is σ = 25725694176. Its totient is φ = 6249096000.

The previous prime is 13032032011. The next prime is 13032032017. The reversal of 13032032013 is 31023023031.

13032032013 is a `hidden beast` number, since 13 + 0 + 320 + 320 + 13 = 666.

It is not a de Polignac number, because 13032032013 - 2¹ = 13032032011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032032011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40263 + ... + 166388.

It is an arithmetic number, because the mean of its divisors is an integer number (357301308).

Almost surely, 2^13032032013 is an apocalyptic number.

13032032013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13032032013 is a deficient number, since it is larger than the sum of its proper divisors (12693662163).

13032032013 is a wasteful number, since it uses less digits than its factorization.

13032032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206695 (or 206685 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13032032013 its reverse (31023023031), we get a palindrome (44055055044).

The spelling of 13032032013 in words is "thirteen billion, thirty-two million, thirty-two thousand, thirteen".