2011110110031 has 24 divisors (see below), whose sum is σ = 2947507696000. Its totient is φ = 1218815064720.

The previous prime is 2011110110027. The next prime is 2011110110047. The reversal of 2011110110031 is 1300110111102.

It is not a de Polignac number, because 2011110110031 - 2² = 2011110110027 is a prime.

It is a super-2 number, since 2×2011110110031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011110109989 and 2011110110016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011110110071) 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 in 23 ways as a sum of consecutive naturals, for example, 14268006 + ... + 14408268.

Almost surely, 2^{2011110110031} is an apocalyptic number.

2011110110031 is a deficient number, since it is larger than the sum of its proper divisors (936397585969).

2011110110031 is a wasteful number, since it uses less digits than its factorization.

2011110110031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179787 (or 179776 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 2011110110031 its reverse (1300110111102), we get a palindrome (3311220221133).

The spelling of 2011110110031 in words is "two trillion, eleven billion, one hundred ten million, one hundred ten thousand, thirty-one".