32107013 has 2 divisors, whose sum is σ = 32107014. Its totient is φ = 32107012.

The previous prime is 32107007. The next prime is 32107037. The reversal of 32107013 is 31070123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17833729 + 14273284 = 4223^2 + 3778^2 .

It is a cyclic number.

It is not a de Polignac number, because 32107013 - 2⁸ = 32106757 is a prime.

It is a super-3 number, since 3×32107013³ (a number of 23 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 32106982 and 32107000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32107043) 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 as a sum of consecutive naturals, namely, 16053506 + 16053507.

It is an arithmetic number, because the mean of its divisors is an integer number (16053507).

Almost surely, 2^32107013 is an apocalyptic number.

It is an amenable number.

32107013 is a deficient number, since it is larger than the sum of its proper divisors (1).

32107013 is an equidigital number, since it uses as much as digits as its factorization.

32107013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 32107013 is about 5666.3050570897. The cubic root of 32107013 is about 317.8337177680.

Adding to 32107013 its reverse (31070123), we get a palindrome (63177136).

The spelling of 32107013 in words is "thirty-two million, one hundred seven thousand, thirteen".