11123111121113 has 2 divisors, whose sum is σ = 11123111121114. Its totient is φ = 11123111121112.

The previous prime is 11123111121091. The next prime is 11123111121149. The reversal of 11123111121113 is 31112111132111.

It is a m-pointer prime, because the next prime (11123111121149) can be obtained adding 11123111121113 to its product of digits (36).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8529507163024 + 2593603958089 = 2920532^2 + 1610467^2 .

It is a cyclic number.

It is not a de Polignac number, because 11123111121113 - 2¹⁰ = 11123111120089 is a prime.

It is not a weakly prime, because it can be changed into another prime (11123111121173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5561555560556 + 5561555560557.

It is an arithmetic number, because the mean of its divisors is an integer number (5561555560557).

Almost surely, 2^{11123111121113} is an apocalyptic number.

It is an amenable number.

11123111121113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11123111121113 is an equidigital number, since it uses as much as digits as its factorization.

11123111121113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36, while the sum is 20.

Adding to 11123111121113 its reverse (31112111132111), we get a palindrome (42235222253224).

The spelling of 11123111121113 in words is "eleven trillion, one hundred twenty-three billion, one hundred eleven million, one hundred twenty-one thousand, one hundred thirteen".