413301022301 has 2 divisors, whose sum is σ = 413301022302. Its totient is φ = 413301022300.

The previous prime is 413301022291. The next prime is 413301022327. The reversal of 413301022301 is 103220103314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 366873701401 + 46427320900 = 605701^2 + 215470^2 .

It is a cyclic number.

It is not a de Polignac number, because 413301022301 - 2³⁰ = 412227280477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413301025301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206650511150 + 206650511151.

It is an arithmetic number, because the mean of its divisors is an integer number (206650511151).

Almost surely, 2^413301022301 is an apocalyptic number.

It is an amenable number.

413301022301 is a deficient number, since it is larger than the sum of its proper divisors (1).

413301022301 is an equidigital number, since it uses as much as digits as its factorization.

413301022301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 413301022301 its reverse (103220103314), we get a palindrome (516521125615).

The spelling of 413301022301 in words is "four hundred thirteen billion, three hundred one million, twenty-two thousand, three hundred one".