413005132021 has 2 divisors, whose sum is σ = 413005132022. Its totient is φ = 413005132020.

The previous prime is 413005131991. The next prime is 413005132037. The reversal of 413005132021 is 120231500314.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214767364900 + 198237767121 = 463430^2 + 445239^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413005132021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413005131983 and 413005132001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413005132051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206502566010 + 206502566011.

It is an arithmetic number, because the mean of its divisors is an integer number (206502566011).

Almost surely, 2^413005132021 is an apocalyptic number.

It is an amenable number.

413005132021 is a deficient number, since it is larger than the sum of its proper divisors (1).

413005132021 is an equidigital number, since it uses as much as digits as its factorization.

413005132021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 413005132021 its reverse (120231500314), we get a palindrome (533236632335).

The spelling of 413005132021 in words is "four hundred thirteen billion, five million, one hundred thirty-two thousand, twenty-one".