2011110110131 has 2 divisors, whose sum is σ = 2011110110132. Its totient is φ = 2011110110130.

The previous prime is 2011110110077. The next prime is 2011110110147. The reversal of 2011110110131 is 1310110111102.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2011110110131 - 2²⁹ = 2010573239219 is a prime.

It is a super-2 number, since 2×2011110110131² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2011110150131) 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, 1005555055065 + 1005555055066.

It is an arithmetic number, because the mean of its divisors is an integer number (1005555055066).

Almost surely, 2^{2011110110131} is an apocalyptic number.

2011110110131 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011110110131 is an equidigital number, since it uses as much as digits as its factorization.

2011110110131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 2011110110131 its reverse (1310110111102), we get a palindrome (3321220221233).

The spelling of 2011110110131 in words is "two trillion, eleven billion, one hundred ten million, one hundred ten thousand, one hundred thirty-one".