111002111113 has 2 divisors, whose sum is σ = 111002111114. Its totient is φ = 111002111112.

The previous prime is 111002111093. The next prime is 111002111147. The reversal of 111002111113 is 311111200111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110974264384 + 27846729 = 333128^2 + 5277^2 .

It is a cyclic number.

It is not a de Polignac number, because 111002111113 - 2⁹ = 111002110601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111002111093 and 111002111102.

It is not a weakly prime, because it can be changed into another prime (111002111413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55501055556 + 55501055557.

It is an arithmetic number, because the mean of its divisors is an integer number (55501055557).

Almost surely, 2^111002111113 is an apocalyptic number.

It is an amenable number.

111002111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

111002111113 is an equidigital number, since it uses as much as digits as its factorization.

111002111113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 111002111113 its reverse (311111200111), we get a palindrome (422113311224).

The spelling of 111002111113 in words is "one hundred eleven billion, two million, one hundred eleven thousand, one hundred thirteen".