1113121121113 has 2 divisors, whose sum is σ = 1113121121114. Its totient is φ = 1113121121112.

The previous prime is 1113121121111. The next prime is 1113121121149. The reversal of 1113121121113 is 3111211213111.

It is a m-pointer prime, because the next prime (1113121121149) can be obtained adding 1113121121113 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., 1113052430169 + 68690944 = 1055013^2 + 8288^2 .

It is a cyclic number.

It is not a de Polignac number, because 1113121121113 - 2¹ = 1113121121111 is a prime.

Together with 1113121121111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1113121121111) 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, 556560560556 + 556560560557.

It is an arithmetic number, because the mean of its divisors is an integer number (556560560557).

Almost surely, 2^{1113121121113} is an apocalyptic number.

It is an amenable number.

1113121121113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1113121121113 is an equidigital number, since it uses as much as digits as its factorization.

1113121121113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36, while the sum is 19.

Adding to 1113121121113 its reverse (3111211213111), we get a palindrome (4224332334224).

The spelling of 1113121121113 in words is "one trillion, one hundred thirteen billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred thirteen".