34114013123261 has 2 divisors, whose sum is σ = 34114013123262. Its totient is φ = 34114013123260.

The previous prime is 34114013123257. The next prime is 34114013123269. The reversal of 34114013123261 is 16232131041143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25564207883236 + 8549805240025 = 5056106^2 + 2924005^2 .

It is a cyclic number.

It is not a de Polignac number, because 34114013123261 - 2² = 34114013123257 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34114013123269) 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, 17057006561630 + 17057006561631.

It is an arithmetic number, because the mean of its divisors is an integer number (17057006561631).

Almost surely, 2^{34114013123261} is an apocalyptic number.

It is an amenable number.

34114013123261 is a deficient number, since it is larger than the sum of its proper divisors (1).

34114013123261 is an equidigital number, since it uses as much as digits as its factorization.

34114013123261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 34114013123261 in words is "thirty-four trillion, one hundred fourteen billion, thirteen million, one hundred twenty-three thousand, two hundred sixty-one".