10031032993 has 2 divisors, whose sum is σ = 10031032994. Its totient is φ = 10031032992.

The previous prime is 10031032961. The next prime is 10031033009. The reversal of 10031032993 is 39923013001.

10031032993 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., 6714655249 + 3316377744 = 81943^2 + 57588^2 .

It is a cyclic number.

It is not a de Polignac number, because 10031032993 - 2⁵ = 10031032961 is a prime.

It is not a weakly prime, because it can be changed into another prime (10031032933) 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, 5015516496 + 5015516497.

It is an arithmetic number, because the mean of its divisors is an integer number (5015516497).

Almost surely, 2^10031032993 is an apocalyptic number.

It is an amenable number.

10031032993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031032993 is an equidigital number, since it uses as much as digits as its factorization.

10031032993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 31.

Adding to 10031032993 its reverse (39923013001), we get a palindrome (49954045994).

The spelling of 10031032993 in words is "ten billion, thirty-one million, thirty-two thousand, nine hundred ninety-three".