34134310031 has 2 divisors, whose sum is σ = 34134310032. Its totient is φ = 34134310030.

The previous prime is 34134309977. The next prime is 34134310037. The reversal of 34134310031 is 13001343143.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 34134310031 - 2¹⁴ = 34134293647 is a prime.

It is a super-2 number, since 2×34134310031² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34134309979 and 34134310006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34134310037) 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, 17067155015 + 17067155016.

It is an arithmetic number, because the mean of its divisors is an integer number (17067155016).

Almost surely, 2^34134310031 is an apocalyptic number.

34134310031 is a deficient number, since it is larger than the sum of its proper divisors (1).

34134310031 is an equidigital number, since it uses as much as digits as its factorization.

34134310031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 34134310031 its reverse (13001343143), we get a palindrome (47135653174).

The spelling of 34134310031 in words is "thirty-four billion, one hundred thirty-four million, three hundred ten thousand, thirty-one".