413103042433129 has 2 divisors, whose sum is σ = 413103042433130. Its totient is φ = 413103042433128.

The previous prime is 413103042432989. The next prime is 413103042433163. The reversal of 413103042433129 is 921334240301314.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210734578890000 + 202368463543129 = 14516700^2 + 14225627^2 .

It is a cyclic number.

It is not a de Polignac number, because 413103042433129 - 2²⁹ = 413102505562217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413103042433091 and 413103042433100.

It is not a weakly prime, because it can be changed into another prime (413103042133129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206551521216564 + 206551521216565.

It is an arithmetic number, because the mean of its divisors is an integer number (206551521216565).

Almost surely, 2^{413103042433129} is an apocalyptic number.

It is an amenable number.

413103042433129 is a deficient number, since it is larger than the sum of its proper divisors (1).

413103042433129 is an equidigital number, since it uses as much as digits as its factorization.

413103042433129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 413103042433129 in words is "four hundred thirteen trillion, one hundred three billion, forty-two million, four hundred thirty-three thousand, one hundred twenty-nine".