413033401301 has 2 divisors, whose sum is σ = 413033401302. Its totient is φ = 413033401300.

The previous prime is 413033401289. The next prime is 413033401307. The reversal of 413033401301 is 103104330314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 339131522500 + 73901878801 = 582350^2 + 271849^2 .

It is a cyclic number.

It is not a de Polignac number, because 413033401301 - 2³⁴ = 395853532117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413033401307) 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, 206516700650 + 206516700651.

It is an arithmetic number, because the mean of its divisors is an integer number (206516700651).

Almost surely, 2^413033401301 is an apocalyptic number.

It is an amenable number.

413033401301 is a deficient number, since it is larger than the sum of its proper divisors (1).

413033401301 is an equidigital number, since it uses as much as digits as its factorization.

413033401301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 413033401301 its reverse (103104330314), we get a palindrome (516137731615).

The spelling of 413033401301 in words is "four hundred thirteen billion, thirty-three million, four hundred one thousand, three hundred one".