31303310121313 has 2 divisors, whose sum is σ = 31303310121314. Its totient is φ = 31303310121312.

The previous prime is 31303310121253. The next prime is 31303310121323. The reversal of 31303310121313 is 31312101330313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23793830363664 + 7509479757649 = 4877892^2 + 2740343^2 .

It is an emirp because it is prime and its reverse (31312101330313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31303310121313 - 2³³ = 31294720186721 is a prime.

It is not a weakly prime, because it can be changed into another prime (31303310121323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15651655060656 + 15651655060657.

It is an arithmetic number, because the mean of its divisors is an integer number (15651655060657).

Almost surely, 2^{31303310121313} is an apocalyptic number.

It is an amenable number.

31303310121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31303310121313 is an equidigital number, since it uses as much as digits as its factorization.

31303310121313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 31303310121313 its reverse (31312101330313), we get a palindrome (62615411451626).

The spelling of 31303310121313 in words is "thirty-one trillion, three hundred three billion, three hundred ten million, one hundred twenty-one thousand, three hundred thirteen".