1121112111311 has 2 divisors, whose sum is σ = 1121112111312. Its totient is φ = 1121112111310.

The previous prime is 1121112111293. The next prime is 1121112111323. The reversal of 1121112111311 is 1131112111211.

It is a m-pointer prime, because the next prime (1121112111323) can be obtained adding 1121112111311 to its product of digits (12).

It is a strong prime.

It is an emirp because it is prime and its reverse (1131112111211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1121112111311 - 2³⁸ = 846234204367 is a prime.

It is a super-2 number, since 2×1121112111311² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1121112111311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1121112110311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 560556055655 + 560556055656.

It is an arithmetic number, because the mean of its divisors is an integer number (560556055656).

Almost surely, 2^{1121112111311} is an apocalyptic number.

1121112111311 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121112111311 is an equidigital number, since it uses as much as digits as its factorization.

1121112111311 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12, while the sum is 17.

Adding to 1121112111311 its reverse (1131112111211), we get a palindrome (2252224222522).

The spelling of 1121112111311 in words is "one trillion, one hundred twenty-one billion, one hundred twelve million, one hundred eleven thousand, three hundred eleven".