11111123121113 has 2 divisors, whose sum is σ = 11111123121114. Its totient is φ = 11111123121112.

The previous prime is 11111123121067. The next prime is 11111123121149. The reversal of 11111123121113 is 31112132111111.

11111123121113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a m-pointer prime, because the next prime (11111123121149) can be obtained adding 11111123121113 to its product of digits (36).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7469086759369 + 3642036361744 = 2732963^2 + 1908412^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11111123121113 is a prime.

It is not a weakly prime, because it can be changed into another prime (11111123151113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5555561560556 + 5555561560557.

It is an arithmetic number, because the mean of its divisors is an integer number (5555561560557).

Almost surely, 2^{11111123121113} is an apocalyptic number.

It is an amenable number.

11111123121113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11111123121113 is an equidigital number, since it uses as much as digits as its factorization.

11111123121113 is an evil number, because the sum of its binary digits is even.

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

Adding to 11111123121113 its reverse (31112132111111), we get a palindrome (42223255232224).

The spelling of 11111123121113 in words is "eleven trillion, one hundred eleven billion, one hundred twenty-three million, one hundred twenty-one thousand, one hundred thirteen".