413414211242129 has 2 divisors, whose sum is σ = 413414211242130. Its totient is φ = 413414211242128.

The previous prime is 413414211242099. The next prime is 413414211242147. The reversal of 413414211242129 is 921242112414314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 337998186864529 + 75416024377600 = 18384727^2 + 8684240^2 .

It is a cyclic number.

It is not a de Polignac number, because 413414211242129 - 2²⁴ = 413414194464913 is a prime.

It is a super-2 number, since 2×413414211242129² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (413414211244129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206707105621064 + 206707105621065.

It is an arithmetic number, because the mean of its divisors is an integer number (206707105621065).

Almost surely, 2^{413414211242129} is an apocalyptic number.

It is an amenable number.

413414211242129 is a deficient number, since it is larger than the sum of its proper divisors (1).

413414211242129 is an equidigital number, since it uses as much as digits as its factorization.

413414211242129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 110592, while the sum is 41.

The spelling of 413414211242129 in words is "four hundred thirteen trillion, four hundred fourteen billion, two hundred eleven million, two hundred forty-two thousand, one hundred twenty-nine".