3420506880013 has 2 divisors, whose sum is σ = 3420506880014. Its totient is φ = 3420506880012.

The previous prime is 3420506880001. The next prime is 3420506880017. The reversal of 3420506880013 is 3100886050243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3380825044804 + 39681835209 = 1838702^2 + 199203^2 .

It is a cyclic number.

It is not a de Polignac number, because 3420506880013 - 2¹⁷ = 3420506748941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3420506880017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1710253440006 + 1710253440007.

It is an arithmetic number, because the mean of its divisors is an integer number (1710253440007).

Almost surely, 2^{3420506880013} is an apocalyptic number.

It is an amenable number.

3420506880013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3420506880013 is an equidigital number, since it uses as much as digits as its factorization.

3420506880013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 3420506880013 in words is "three trillion, four hundred twenty billion, five hundred six million, eight hundred eighty thousand, thirteen".