1113114111113 has 2 divisors, whose sum is σ = 1113114111114. Its totient is φ = 1113114111112.

The previous prime is 1113114111097. The next prime is 1113114111149. The reversal of 1113114111113 is 3111114113111.

It is a happy number.

It is a m-pointer prime, because the next prime (1113114111149) can be obtained adding 1113114111113 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., 605638819984 + 507475291129 = 778228^2 + 712373^2 .

It is a cyclic number.

It is not a de Polignac number, because 1113114111113 - 2⁴ = 1113114111097 is a prime.

It is a super-2 number, since 2×1113114111113² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1113114711113) 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, 556557055556 + 556557055557.

It is an arithmetic number, because the mean of its divisors is an integer number (556557055557).

Almost surely, 2^{1113114111113} is an apocalyptic number.

It is an amenable number.

1113114111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1113114111113 is an equidigital number, since it uses as much as digits as its factorization.

1113114111113 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 1113114111113 its reverse (3111114113111), we get a palindrome (4224228224224).

The spelling of 1113114111113 in words is "one trillion, one hundred thirteen billion, one hundred fourteen million, one hundred eleven thousand, one hundred thirteen".