10331312009 has 2 divisors, whose sum is σ = 10331312010. Its totient is φ = 10331312008.

The previous prime is 10331311981. The next prime is 10331312023. The reversal of 10331312009 is 90021313301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10307934784 + 23377225 = 101528^2 + 4835^2 .

It is a cyclic number.

It is not a de Polignac number, because 10331312009 - 2²⁴ = 10314534793 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10331312039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5165656004 + 5165656005.

It is an arithmetic number, because the mean of its divisors is an integer number (5165656005).

Almost surely, 2^10331312009 is an apocalyptic number.

It is an amenable number.

10331312009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10331312009 is an equidigital number, since it uses as much as digits as its factorization.

10331312009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

The spelling of 10331312009 in words is "ten billion, three hundred thirty-one million, three hundred twelve thousand, nine".