31434013414109 has 2 divisors, whose sum is σ = 31434013414110. Its totient is φ = 31434013414108.

The previous prime is 31434013414079. The next prime is 31434013414121. The reversal of 31434013414109 is 90141431043413.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31391928122500 + 42085291609 = 5602850^2 + 205147^2 .

It is an emirp because it is prime and its reverse (90141431043413) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31434013414109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31434013414159) 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, 15717006707054 + 15717006707055.

It is an arithmetic number, because the mean of its divisors is an integer number (15717006707055).

Almost surely, 2^{31434013414109} is an apocalyptic number.

It is an amenable number.

31434013414109 is a deficient number, since it is larger than the sum of its proper divisors (1).

31434013414109 is an equidigital number, since it uses as much as digits as its factorization.

31434013414109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 31434013414109 in words is "thirty-one trillion, four hundred thirty-four billion, thirteen million, four hundred fourteen thousand, one hundred nine".