10013031001 has 2 divisors, whose sum is σ = 10013031002. Its totient is φ = 10013031000.

The previous prime is 10013030977. The next prime is 10013031013.

10013031001 is nontrivially palindromic in base 10.

10013031001 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., 8877408400 + 1135622601 = 94220^2 + 33699^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 10013031001 - 2²³ = 10004642393 is a prime.

It is not a weakly prime, because it can be changed into another prime (10013031701) 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, 5006515500 + 5006515501.

It is an arithmetic number, because the mean of its divisors is an integer number (5006515501).

Almost surely, 2^10013031001 is an apocalyptic number.

It is an amenable number.

10013031001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013031001 is an equidigital number, since it uses as much as digits as its factorization.

10013031001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 10.

It can be divided in two parts, 100130 and 31001, that added together give a palindrome (131131).

The spelling of 10013031001 in words is "ten billion, thirteen million, thirty-one thousand, one".