31434333311009 has 2 divisors, whose sum is σ = 31434333311010. Its totient is φ = 31434333311008.

The previous prime is 31434333310997. The next prime is 31434333311111. The reversal of 31434333311009 is 90011333343413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29570179995409 + 1864153315600 = 5437847^2 + 1365340^2 .

It is an emirp because it is prime and its reverse (90011333343413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31434333311009 - 2⁴ = 31434333310993 is a prime.

It is a super-2 number, since 2×31434333311009² (a number of 28 digits) contains 22 as substring.

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 (31434333371009) 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, 15717166655504 + 15717166655505.

It is an arithmetic number, because the mean of its divisors is an integer number (15717166655505).

Almost surely, 2^{31434333311009} is an apocalyptic number.

It is an amenable number.

31434333311009 is a deficient number, since it is larger than the sum of its proper divisors (1).

31434333311009 is an equidigital number, since it uses as much as digits as its factorization.

31434333311009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 38.

The spelling of 31434333311009 in words is "thirty-one trillion, four hundred thirty-four billion, three hundred thirty-three million, three hundred eleven thousand, nine".