413042114213 has 2 divisors, whose sum is σ = 413042114214. Its totient is φ = 413042114212.

The previous prime is 413042114131. The next prime is 413042114227. The reversal of 413042114213 is 312411240314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 316971252004 + 96070862209 = 563002^2 + 309953^2 .

It is a cyclic number.

It is not a de Polignac number, because 413042114213 - 2³² = 408747146917 is a prime.

It is a super-2 number, since 2×413042114213² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413042114113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206521057106 + 206521057107.

It is an arithmetic number, because the mean of its divisors is an integer number (206521057107).

Almost surely, 2^413042114213 is an apocalyptic number.

It is an amenable number.

413042114213 is a deficient number, since it is larger than the sum of its proper divisors (1).

413042114213 is an equidigital number, since it uses as much as digits as its factorization.

413042114213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 413042114213 its reverse (312411240314), we get a palindrome (725453354527).

The spelling of 413042114213 in words is "four hundred thirteen billion, forty-two million, one hundred fourteen thousand, two hundred thirteen".