413106301 has 2 divisors, whose sum is σ = 413106302. Its totient is φ = 413106300.

The previous prime is 413106299. The next prime is 413106311. The reversal of 413106301 is 103601314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 413105625 + 676 = 20325^2 + 26^2 .

It is a cyclic number.

It is not a de Polignac number, because 413106301 - 2¹ = 413106299 is a prime.

Together with 413106299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413106311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206553150 + 206553151.

It is an arithmetic number, because the mean of its divisors is an integer number (206553151).

Almost surely, 2^413106301 is an apocalyptic number.

It is an amenable number.

413106301 is a deficient number, since it is larger than the sum of its proper divisors (1).

413106301 is an equidigital number, since it uses as much as digits as its factorization.

413106301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 413106301 is about 20325.0166297595. The cubic root of 413106301 is about 744.7673107819.

Adding to 413106301 its reverse (103601314), we get a palindrome (516707615).

The spelling of 413106301 in words is "four hundred thirteen million, one hundred six thousand, three hundred one".