4101330433217 has 2 divisors, whose sum is σ = 4101330433218. Its totient is φ = 4101330433216.

The previous prime is 4101330433183. The next prime is 4101330433219. The reversal of 4101330433217 is 7123340331014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4015599178816 + 85731254401 = 2003896^2 + 292799^2 .

It is a cyclic number.

It is not a de Polignac number, because 4101330433217 - 2¹⁸ = 4101330171073 is a prime.

It is a super-2 number, since 2×4101330433217² (a number of 26 digits) contains 22 as substring.

Together with 4101330433219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4101330433219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050665216608 + 2050665216609.

It is an arithmetic number, because the mean of its divisors is an integer number (2050665216609).

Almost surely, 2^{4101330433217} is an apocalyptic number.

It is an amenable number.

4101330433217 is a deficient number, since it is larger than the sum of its proper divisors (1).

4101330433217 is an equidigital number, since it uses as much as digits as its factorization.

4101330433217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 4101330433217 in words is "four trillion, one hundred one billion, three hundred thirty million, four hundred thirty-three thousand, two hundred seventeen".