34134200340413 has 2 divisors, whose sum is σ = 34134200340414. Its totient is φ = 34134200340412.

The previous prime is 34134200340391. The next prime is 34134200340431. The reversal of 34134200340413 is 31404300243143.

Together with next prime (34134200340431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30980656564729 + 3153543775684 = 5566027^2 + 1775822^2 .

It is a cyclic number.

It is not a de Polignac number, because 34134200340413 - 2¹⁶ = 34134200274877 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34134200340413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34134200340433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17067100170206 + 17067100170207.

It is an arithmetic number, because the mean of its divisors is an integer number (17067100170207).

Almost surely, 2^{34134200340413} is an apocalyptic number.

It is an amenable number.

34134200340413 is a deficient number, since it is larger than the sum of its proper divisors (1).

34134200340413 is an equidigital number, since it uses as much as digits as its factorization.

34134200340413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 34134200340413 its reverse (31404300243143), we get a palindrome (65538500583556).

The spelling of 34134200340413 in words is "thirty-four trillion, one hundred thirty-four billion, two hundred million, three hundred forty thousand, four hundred thirteen".