31303012322009 has 2 divisors, whose sum is σ = 31303012322010. Its totient is φ = 31303012322008.

The previous prime is 31303012321927. The next prime is 31303012322011. The reversal of 31303012322009 is 90022321030313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30801390010000 + 501622312009 = 5549900^2 + 708253^2 .

It is a cyclic number.

It is not a de Polignac number, because 31303012322009 - 2⁸ = 31303012321753 is a prime.

Together with 31303012322011, 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 (31303012324009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15651506161004 + 15651506161005.

It is an arithmetic number, because the mean of its divisors is an integer number (15651506161005).

Almost surely, 2^{31303012322009} is an apocalyptic number.

It is an amenable number.

31303012322009 is a deficient number, since it is larger than the sum of its proper divisors (1).

31303012322009 is an equidigital number, since it uses as much as digits as its factorization.

31303012322009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

The spelling of 31303012322009 in words is "thirty-one trillion, three hundred three billion, twelve million, three hundred twenty-two thousand, nine".