331313110233113 has 2 divisors, whose sum is σ = 331313110233114. Its totient is φ = 331313110233112.

The previous prime is 331313110233011. The next prime is 331313110233169. The reversal of 331313110233113 is 311332011313133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 270520025985049 + 60793084248064 = 16447493^2 + 7796992^2 .

It is a cyclic number.

It is not a de Polignac number, because 331313110233113 - 2¹⁰ = 331313110232089 is a prime.

It is not a weakly prime, because it can be changed into another prime (331313110233173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165656555116556 + 165656555116557.

It is an arithmetic number, because the mean of its divisors is an integer number (165656555116557).

Almost surely, 2^{331313110233113} is an apocalyptic number.

It is an amenable number.

331313110233113 is a deficient number, since it is larger than the sum of its proper divisors (1).

331313110233113 is an equidigital number, since it uses as much as digits as its factorization.

331313110233113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 29.

Adding to 331313110233113 its reverse (311332011313133), we get a palindrome (642645121546246).

The spelling of 331313110233113 in words is "three hundred thirty-one trillion, three hundred thirteen billion, one hundred ten million, two hundred thirty-three thousand, one hundred thirteen".