10311122311313 has 4 divisors (see below), whose sum is σ = 10322799687408. Its totient is φ = 10299444935220.

The previous prime is 10311122311271. The next prime is 10311122311331. The reversal of 10311122311313 is 31311322111301.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10311122311313 - 2³⁶ = 10242402834577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10311122311363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5838686723 + ... + 5838688488.

It is an arithmetic number, because the mean of its divisors is an integer number (2580699921852).

Almost surely, 2^{10311122311313} is an apocalyptic number.

It is an amenable number.

10311122311313 is a deficient number, since it is larger than the sum of its proper divisors (11677376095).

10311122311313 is an equidigital number, since it uses as much as digits as its factorization.

10311122311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11677376094.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 10311122311313 its reverse (31311322111301), we get a palindrome (41622444422614).

The spelling of 10311122311313 in words is "ten trillion, three hundred eleven billion, one hundred twenty-two million, three hundred eleven thousand, three hundred thirteen".