331002123214241 has 2 divisors, whose sum is σ = 331002123214242. Its totient is φ = 331002123214240.

The previous prime is 331002123214183. The next prime is 331002123214249. The reversal of 331002123214241 is 142412321200133.

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., 303670181038225 + 27331942176016 = 17426135^2 + 5227996^2 .

It is a cyclic number.

It is not a de Polignac number, because 331002123214241 - 2³⁰ = 331001049472417 is a prime.

It is not a weakly prime, because it can be changed into another prime (331002123214249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165501061607120 + 165501061607121.

It is an arithmetic number, because the mean of its divisors is an integer number (165501061607121).

Almost surely, 2^{331002123214241} is an apocalyptic number.

It is an amenable number.

331002123214241 is a deficient number, since it is larger than the sum of its proper divisors (1).

331002123214241 is an equidigital number, since it uses as much as digits as its factorization.

331002123214241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 331002123214241 its reverse (142412321200133), we get a palindrome (473414444414374).

The spelling of 331002123214241 in words is "three hundred thirty-one trillion, two billion, one hundred twenty-three million, two hundred fourteen thousand, two hundred forty-one".