10032013 has 2 divisors, whose sum is σ = 10032014. Its totient is φ = 10032012.

The previous prime is 10031993. The next prime is 10032017. The reversal of 10032013 is 31023001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9972964 + 59049 = 3158^2 + 243^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10032013 is a prime.

It is a super-3 number, since 3×10032013³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10032017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016006 + 5016007.

It is an arithmetic number, because the mean of its divisors is an integer number (5016007).

Almost surely, 2^10032013 is an apocalyptic number.

It is an amenable number.

10032013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10032013 is an equidigital number, since it uses as much as digits as its factorization.

10032013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 10032013 is about 3167.3353153716. The cubic root of 10032013 is about 215.6731238383.

Adding to 10032013 its reverse (31023001), we get a palindrome (41055014).

The spelling of 10032013 in words is "ten million, thirty-two thousand, thirteen".