334121133001217 has 2 divisors, whose sum is σ = 334121133001218. Its totient is φ = 334121133001216.

The previous prime is 334121133001177. The next prime is 334121133001223. The reversal of 334121133001217 is 712100331121433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 306914800392256 + 27206332608961 = 17518984^2 + 5215969^2 .

It is a cyclic number.

It is not a de Polignac number, because 334121133001217 - 2⁴⁴ = 316528946956801 is a prime.

It is a super-2 number, since 2×334121133001217² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (334121133021217) 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, 167060566500608 + 167060566500609.

It is an arithmetic number, because the mean of its divisors is an integer number (167060566500609).

Almost surely, 2^{334121133001217} is an apocalyptic number.

It is an amenable number.

334121133001217 is a deficient number, since it is larger than the sum of its proper divisors (1).

334121133001217 is an equidigital number, since it uses as much as digits as its factorization.

334121133001217 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 334121133001217 in words is "three hundred thirty-four trillion, one hundred twenty-one billion, one hundred thirty-three million, one thousand, two hundred seventeen".