10311211111131 has 18 divisors (see below), whose sum is σ = 17325640439172. Its totient is φ = 5892120634680.

The previous prime is 10311211111127. The next prime is 10311211111151. The reversal of 10311211111131 is 13111111211301.

It is a happy number.

10311211111131 is a `hidden beast` number, since 1 + 0 + 311 + 211 + 1 + 11 + 131 = 666.

It is not a de Polignac number, because 10311211111131 - 2² = 10311211111127 is a prime.

It is a super-2 number, since 2×10311211111131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10311211111111) 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 17 ways as a sum of consecutive naturals, for example, 11690715105 + ... + 11690715986.

It is an arithmetic number, because the mean of its divisors is an integer number (962535579954).

Almost surely, 2^{10311211111131} is an apocalyptic number.

10311211111131 is a deficient number, since it is larger than the sum of its proper divisors (7014429328041).

10311211111131 is a wasteful number, since it uses less digits than its factorization.

10311211111131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23381431111 (or 23381431101 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

Adding to 10311211111131 its reverse (13111111211301), we get a palindrome (23422322322432).

The spelling of 10311211111131 in words is "ten trillion, three hundred eleven billion, two hundred eleven million, one hundred eleven thousand, one hundred thirty-one".