413313132341 has 2 divisors, whose sum is σ = 413313132342. Its totient is φ = 413313132340.

The previous prime is 413313132329. The next prime is 413313132473. The reversal of 413313132341 is 143231313314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 406399875025 + 6913257316 = 637495^2 + 83146^2 .

It is a cyclic number.

It is not a de Polignac number, because 413313132341 - 2⁶ = 413313132277 is a prime.

It is a super-3 number, since 3×413313132341³ (a number of 36 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413313732341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206656566170 + 206656566171.

It is an arithmetic number, because the mean of its divisors is an integer number (206656566171).

Almost surely, 2^413313132341 is an apocalyptic number.

It is an amenable number.

413313132341 is a deficient number, since it is larger than the sum of its proper divisors (1).

413313132341 is an equidigital number, since it uses as much as digits as its factorization.

413313132341 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7776, while the sum is 29.

Adding to 413313132341 its reverse (143231313314), we get a palindrome (556544445655).

The spelling of 413313132341 in words is "four hundred thirteen billion, three hundred thirteen million, one hundred thirty-two thousand, three hundred forty-one".