32013000013 has 2 divisors, whose sum is σ = 32013000014. Its totient is φ = 32013000012.

The previous prime is 32012999987. The next prime is 32013000043. The reversal of 32013000013 is 31000031023.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21869085924 + 10143914089 = 147882^2 + 100717^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-32013000013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32012999957 and 32013000002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32013000043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16006500006 + 16006500007.

It is an arithmetic number, because the mean of its divisors is an integer number (16006500007).

Almost surely, 2^32013000013 is an apocalyptic number.

It is an amenable number.

32013000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

32013000013 is an equidigital number, since it uses as much as digits as its factorization.

32013000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 32013000013 its reverse (31000031023), we get a palindrome (63013031036).

The spelling of 32013000013 in words is "thirty-two billion, thirteen million, thirteen", and thus it is an aban number and an uban number.