3413121086017 has 2 divisors, whose sum is σ = 3413121086018. Its totient is φ = 3413121086016.

The previous prime is 3413121085993. The next prime is 3413121086027. The reversal of 3413121086017 is 7106801213143.

3413121086017 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3173756502016 + 239364584001 = 1781504^2 + 489249^2 .

It is a cyclic number.

It is not a de Polignac number, because 3413121086017 - 2³⁵ = 3378761347649 is a prime.

It is not a weakly prime, because it can be changed into another prime (3413121086027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1706560543008 + 1706560543009.

It is an arithmetic number, because the mean of its divisors is an integer number (1706560543009).

Almost surely, 2^{3413121086017} is an apocalyptic number.

It is an amenable number.

3413121086017 is a deficient number, since it is larger than the sum of its proper divisors (1).

3413121086017 is an equidigital number, since it uses as much as digits as its factorization.

3413121086017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 3413121086017 in words is "three trillion, four hundred thirteen billion, one hundred twenty-one million, eighty-six thousand, seventeen".