10031033009 has 2 divisors, whose sum is σ = 10031033010. Its totient is φ = 10031033008.

The previous prime is 10031032993. The next prime is 10031033011. The reversal of 10031033009 is 90033013001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10030623409 + 409600 = 100153^2 + 640^2 .

It is a cyclic number.

It is not a de Polignac number, because 10031033009 - 2⁴ = 10031032993 is a prime.

It is a Sophie Germain prime.

Together with 10031033011, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10031036009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015516504 + 5015516505.

It is an arithmetic number, because the mean of its divisors is an integer number (5015516505).

Almost surely, 2^10031033009 is an apocalyptic number.

It is an amenable number.

10031033009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031033009 is an equidigital number, since it uses as much as digits as its factorization.

10031033009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 20.

The spelling of 10031033009 in words is "ten billion, thirty-one million, thirty-three thousand, nine".