10311302102113 has 2 divisors, whose sum is σ = 10311302102114. Its totient is φ = 10311302102112.

The previous prime is 10311302102111. The next prime is 10311302102161. The reversal of 10311302102113 is 31120120311301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10282174535889 + 29127566224 = 3206583^2 + 170668^2 .

It is a cyclic number.

It is not a de Polignac number, because 10311302102113 - 2¹ = 10311302102111 is a prime.

Together with 10311302102111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10311302102111) 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, 5155651051056 + 5155651051057.

It is an arithmetic number, because the mean of its divisors is an integer number (5155651051057).

Almost surely, 2^{10311302102113} is an apocalyptic number.

It is an amenable number.

10311302102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10311302102113 is an equidigital number, since it uses as much as digits as its factorization.

10311302102113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10311302102113 its reverse (31120120311301), we get a palindrome (41431422413414).

The spelling of 10311302102113 in words is "ten trillion, three hundred eleven billion, three hundred two million, one hundred two thousand, one hundred thirteen".