331322103200113 has 2 divisors, whose sum is σ = 331322103200114. Its totient is φ = 331322103200112.

The previous prime is 331322103200071. The next prime is 331322103200159. The reversal of 331322103200113 is 311002301223133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212950162067344 + 118371941132769 = 14592812^2 + 10879887^2 .

It is a cyclic number.

It is not a de Polignac number, because 331322103200113 - 2⁹ = 331322103199601 is a prime.

It is not a weakly prime, because it can be changed into another prime (331322103200213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165661051600056 + 165661051600057.

It is an arithmetic number, because the mean of its divisors is an integer number (165661051600057).

Almost surely, 2^{331322103200113} is an apocalyptic number.

It is an amenable number.

331322103200113 is a deficient number, since it is larger than the sum of its proper divisors (1).

331322103200113 is an equidigital number, since it uses as much as digits as its factorization.

331322103200113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 331322103200113 its reverse (311002301223133), we get a palindrome (642324404423246).

The spelling of 331322103200113 in words is "three hundred thirty-one trillion, three hundred twenty-two billion, one hundred three million, two hundred thousand, one hundred thirteen".