311301318908009 has 2 divisors, whose sum is σ = 311301318908010. Its totient is φ = 311301318908008.

The previous prime is 311301318907993. The next prime is 311301318908023. The reversal of 311301318908009 is 900809813103113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 306213601081600 + 5087717826409 = 17498960^2 + 2255597^2 .

It is a cyclic number.

It is not a de Polignac number, because 311301318908009 - 2⁴ = 311301318907993 is a prime.

It is a super-2 number, since 2×311301318908009² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (311301318908059) 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, 155650659454004 + 155650659454005.

It is an arithmetic number, because the mean of its divisors is an integer number (155650659454005).

Almost surely, 2^{311301318908009} is an apocalyptic number.

It is an amenable number.

311301318908009 is a deficient number, since it is larger than the sum of its proper divisors (1).

311301318908009 is an equidigital number, since it uses as much as digits as its factorization.

311301318908009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 47.

The spelling of 311301318908009 in words is "three hundred eleven trillion, three hundred one billion, three hundred eighteen million, nine hundred eight thousand, nine".