442413133213321 has 2 divisors, whose sum is σ = 442413133213322. Its totient is φ = 442413133213320.

The previous prime is 442413133213313. The next prime is 442413133213391. The reversal of 442413133213321 is 123312331314244.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 293284805313600 + 149128327899721 = 17125560^2 + 12211811^2 .

It is a cyclic number.

It is not a de Polignac number, because 442413133213321 - 2³ = 442413133213313 is a prime.

It is not a weakly prime, because it can be changed into another prime (442413133213391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221206566606660 + 221206566606661.

It is an arithmetic number, because the mean of its divisors is an integer number (221206566606661).

Almost surely, 2^{442413133213321} is an apocalyptic number.

It is an amenable number.

442413133213321 is a deficient number, since it is larger than the sum of its proper divisors (1).

442413133213321 is an equidigital number, since it uses as much as digits as its factorization.

442413133213321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 124416, while the sum is 37.

Adding to 442413133213321 its reverse (123312331314244), we get a palindrome (565725464527565).

The spelling of 442413133213321 in words is "four hundred forty-two trillion, four hundred thirteen billion, one hundred thirty-three million, two hundred thirteen thousand, three hundred twenty-one".