413033412301 has 2 divisors, whose sum is σ = 413033412302. Its totient is φ = 413033412300.

The previous prime is 413033412269. The next prime is 413033412307. The reversal of 413033412301 is 103214330314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 258663788100 + 154369624201 = 508590^2 + 392899^2 .

It is a cyclic number.

It is not a de Polignac number, because 413033412301 - 2⁵ = 413033412269 is a prime.

It is a super-2 number, since 2×413033412301² (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 (413033412307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206516706150 + 206516706151.

It is an arithmetic number, because the mean of its divisors is an integer number (206516706151).

Almost surely, 2^413033412301 is an apocalyptic number.

It is an amenable number.

413033412301 is a deficient number, since it is larger than the sum of its proper divisors (1).

413033412301 is an equidigital number, since it uses as much as digits as its factorization.

413033412301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 413033412301 its reverse (103214330314), we get a palindrome (516247742615).

The spelling of 413033412301 in words is "four hundred thirteen billion, thirty-three million, four hundred twelve thousand, three hundred one".