10013031013 has 2 divisors, whose sum is σ = 10013031014. Its totient is φ = 10013031012.

The previous prime is 10013031001. The next prime is 10013031043. The reversal of 10013031013 is 31013031001.

It is a happy number.

10013031013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9932713569 + 80317444 = 99663^2 + 8962^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013031013 - 2²⁵ = 9979476581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10013030984 and 10013031002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10013031043) 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 as a sum of consecutive naturals, namely, 5006515506 + 5006515507.

It is an arithmetic number, because the mean of its divisors is an integer number (5006515507).

Almost surely, 2^10013031013 is an apocalyptic number.

It is an amenable number.

10013031013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013031013 is an equidigital number, since it uses as much as digits as its factorization.

10013031013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10013031013 its reverse (31013031001), we get a palindrome (41026062014).

The spelling of 10013031013 in words is "ten billion, thirteen million, thirty-one thousand, thirteen".