11310212313313 has 2 divisors, whose sum is σ = 11310212313314. Its totient is φ = 11310212313312.

The previous prime is 11310212313247. The next prime is 11310212313343. The reversal of 11310212313313 is 31331321201311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10533614275809 + 776598037504 = 3245553^2 + 881248^2 .

It is an emirp because it is prime and its reverse (31331321201311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11310212313313 - 2²⁵ = 11310178758881 is a prime.

It is not a weakly prime, because it can be changed into another prime (11310212313343) 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, 5655106156656 + 5655106156657.

It is an arithmetic number, because the mean of its divisors is an integer number (5655106156657).

Almost surely, 2^{11310212313313} is an apocalyptic number.

It is an amenable number.

11310212313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

11310212313313 is an equidigital number, since it uses as much as digits as its factorization.

11310212313313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 11310212313313 its reverse (31331321201311), we get a palindrome (42641533514624).

The spelling of 11310212313313 in words is "eleven trillion, three hundred ten billion, two hundred twelve million, three hundred thirteen thousand, three hundred thirteen".