31344518350009 has 2 divisors, whose sum is σ = 31344518350010. Its totient is φ = 31344518350008.

The previous prime is 31344518349961. The next prime is 31344518350039. The reversal of 31344518350009 is 90005381544313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28337224785984 + 3007293564025 = 5323272^2 + 1734155^2 .

It is a cyclic number.

It is not a de Polignac number, because 31344518350009 - 2³⁹ = 30794762536121 is a prime.

It is not a weakly prime, because it can be changed into another prime (31344518350039) 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, 15672259175004 + 15672259175005.

It is an arithmetic number, because the mean of its divisors is an integer number (15672259175005).

Almost surely, 2^{31344518350009} is an apocalyptic number.

It is an amenable number.

31344518350009 is a deficient number, since it is larger than the sum of its proper divisors (1).

31344518350009 is an equidigital number, since it uses as much as digits as its factorization.

31344518350009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 31344518350009 in words is "thirty-one trillion, three hundred forty-four billion, five hundred eighteen million, three hundred fifty thousand, nine".