3420413022413 has 2 divisors, whose sum is σ = 3420413022414. Its totient is φ = 3420413022412.

The previous prime is 3420413022407. The next prime is 3420413022421. The reversal of 3420413022413 is 3142203140243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3410718256969 + 9694765444 = 1846813^2 + 98462^2 .

It is an emirp because it is prime and its reverse (3142203140243) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3420413022413 - 2⁶ = 3420413022349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3420413022443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1710206511206 + 1710206511207.

It is an arithmetic number, because the mean of its divisors is an integer number (1710206511207).

Almost surely, 2^{3420413022413} is an apocalyptic number.

It is an amenable number.

3420413022413 is a deficient number, since it is larger than the sum of its proper divisors (1).

3420413022413 is an equidigital number, since it uses as much as digits as its factorization.

3420413022413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 3420413022413 its reverse (3142203140243), we get a palindrome (6562616162656).

The spelling of 3420413022413 in words is "three trillion, four hundred twenty billion, four hundred thirteen million, twenty-two thousand, four hundred thirteen".