11111112131111 has 2 divisors, whose sum is σ = 11111112131112. Its totient is φ = 11111112131110.

The previous prime is 11111112131057. The next prime is 11111112131117. The reversal of 11111112131111 is 11113121111111.

It is a m-pointer prime, because the next prime (11111112131117) can be obtained adding 11111112131111 to its product of digits (6).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 11111112131111 - 2³⁴ = 11093932261927 is a prime.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11111112131111.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11111112131117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5555556065555 + 5555556065556.

It is an arithmetic number, because the mean of its divisors is an integer number (5555556065556).

Almost surely, 2^{11111112131111} is an apocalyptic number.

11111112131111 is a deficient number, since it is larger than the sum of its proper divisors (1).

11111112131111 is an equidigital number, since it uses as much as digits as its factorization.

11111112131111 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6, while the sum is 17.

Adding to 11111112131111 its reverse (11113121111111), we get a palindrome (22224233242222).

The spelling of 11111112131111 in words is "eleven trillion, one hundred eleven billion, one hundred twelve million, one hundred thirty-one thousand, one hundred eleven".