331422404224133 has 2 divisors, whose sum is σ = 331422404224134. Its totient is φ = 331422404224132.

The previous prime is 331422404224031. The next prime is 331422404224147.

331422404224133 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185271761662849 + 146150642561284 = 13611457^2 + 12089278^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 331422404224133 - 2²⁸ = 331422135788677 is a prime.

It is a super-2 number, since 2×331422404224133² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331422404224433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165711202112066 + 165711202112067.

It is an arithmetic number, because the mean of its divisors is an integer number (165711202112067).

Almost surely, 2^{331422404224133} is an apocalyptic number.

It is an amenable number.

331422404224133 is a deficient number, since it is larger than the sum of its proper divisors (1).

331422404224133 is an equidigital number, since it uses as much as digits as its factorization.

331422404224133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 38.

It can be divided in two parts, 33142240 and 4224133, that added together give a palindrome (37366373).

The spelling of 331422404224133 in words is "three hundred thirty-one trillion, four hundred twenty-two billion, four hundred four million, two hundred twenty-four thousand, one hundred thirty-three".