331303013310053 has 2 divisors, whose sum is σ = 331303013310054. Its totient is φ = 331303013310052.

The previous prime is 331303013309987. The next prime is 331303013310077. The reversal of 331303013310053 is 350013310303133.

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., 218730552569764 + 112572460740289 = 14789542^2 + 10610017^2 .

It is a cyclic number.

It is not a de Polignac number, because 331303013310053 - 2⁸ = 331303013309797 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 331303013309998 and 331303013310025.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331303013312053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165651506655026 + 165651506655027.

It is an arithmetic number, because the mean of its divisors is an integer number (165651506655027).

Almost surely, 2^{331303013310053} is an apocalyptic number.

It is an amenable number.

331303013310053 is a deficient number, since it is larger than the sum of its proper divisors (1).

331303013310053 is an equidigital number, since it uses as much as digits as its factorization.

331303013310053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10935, while the sum is 29.

Adding to 331303013310053 its reverse (350013310303133), we get a palindrome (681316323613186).

The spelling of 331303013310053 in words is "three hundred thirty-one trillion, three hundred three billion, thirteen million, three hundred ten thousand, fifty-three".