10013031593 has 2 divisors, whose sum is σ = 10013031594. Its totient is φ = 10013031592.

The previous prime is 10013031563. The next prime is 10013031617. The reversal of 10013031593 is 39513031001.

10013031593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8120172544 + 1892859049 = 90112^2 + 43507^2 .

It is an emirp because it is prime and its reverse (39513031001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10013031593 - 2²⁰ = 10011983017 is a prime.

It is a super-2 number, since 2×10013031593² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10013031503) 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, 5006515796 + 5006515797.

It is an arithmetic number, because the mean of its divisors is an integer number (5006515797).

Almost surely, 2^10013031593 is an apocalyptic number.

It is an amenable number.

10013031593 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013031593 is an equidigital number, since it uses as much as digits as its factorization.

10013031593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1215, while the sum is 26.

Adding to 10013031593 its reverse (39513031001), we get a palindrome (49526062594).

The spelling of 10013031593 in words is "ten billion, thirteen million, thirty-one thousand, five hundred ninety-three".