3131332333313 has 2 divisors, whose sum is σ = 3131332333314. Its totient is φ = 3131332333312.

The previous prime is 3131332333301. The next prime is 3131332333321. The reversal of 3131332333313 is 3133332331313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1666402155664 + 1464930177649 = 1290892^2 + 1210343^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131332333313 - 2¹⁸ = 3131332071169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3131332333313.

It is not a weakly prime, because it can be changed into another prime (3131332333333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565666166656 + 1565666166657.

It is an arithmetic number, because the mean of its divisors is an integer number (1565666166657).

Almost surely, 2^{3131332333313} is an apocalyptic number.

It is an amenable number.

3131332333313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131332333313 is an equidigital number, since it uses as much as digits as its factorization.

3131332333313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 39366, while the sum is 32.

Adding to 3131332333313 its reverse (3133332331313), we get a palindrome (6264664664626).

The spelling of 3131332333313 in words is "three trillion, one hundred thirty-one billion, three hundred thirty-two million, three hundred thirty-three thousand, three hundred thirteen".