1000031231009 has 2 divisors, whose sum is σ = 1000031231010. Its totient is φ = 1000031231008.

The previous prime is 1000031230999. The next prime is 1000031231011. The reversal of 1000031231009 is 9001321300001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 699727231009 + 300304000000 = 836497^2 + 548000^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000031231009 is a prime.

Together with 1000031231011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1000031201009) 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, 500015615504 + 500015615505.

It is an arithmetic number, because the mean of its divisors is an integer number (500015615505).

Almost surely, 2^{1000031231009} is an apocalyptic number.

It is an amenable number.

1000031231009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000031231009 is an equidigital number, since it uses as much as digits as its factorization.

1000031231009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

The spelling of 1000031231009 in words is "one trillion, thirty-one million, two hundred thirty-one thousand, nine".