34013301311417 has 2 divisors, whose sum is σ = 34013301311418. Its totient is φ = 34013301311416.

The previous prime is 34013301311413. The next prime is 34013301311443. The reversal of 34013301311417 is 71411310331043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33784679626681 + 228621684736 = 5812459^2 + 478144^2 .

It is a cyclic number.

It is not a de Polignac number, because 34013301311417 - 2² = 34013301311413 is a prime.

It is a super-2 number, since 2×34013301311417² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34013301311413) 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, 17006650655708 + 17006650655709.

It is an arithmetic number, because the mean of its divisors is an integer number (17006650655709).

Almost surely, 2^{34013301311417} is an apocalyptic number.

It is an amenable number.

34013301311417 is a deficient number, since it is larger than the sum of its proper divisors (1).

34013301311417 is an equidigital number, since it uses as much as digits as its factorization.

34013301311417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

The spelling of 34013301311417 in words is "thirty-four trillion, thirteen billion, three hundred one million, three hundred eleven thousand, four hundred seventeen".