111001002113 has 2 divisors, whose sum is σ = 111001002114. Its totient is φ = 111001002112.

The previous prime is 111001002107. The next prime is 111001002131. The reversal of 111001002113 is 311200100111.

It is a happy number.

Together with next prime (111001002131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100205168704 + 10795833409 = 316552^2 + 103903^2 .

It is a cyclic number.

It is not a de Polignac number, because 111001002113 - 2¹⁶ = 111000936577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111001002094 and 111001002103.

It is not a weakly prime, because it can be changed into another prime (111001002163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500501056 + 55500501057.

It is an arithmetic number, because the mean of its divisors is an integer number (55500501057).

Almost surely, 2^111001002113 is an apocalyptic number.

It is an amenable number.

111001002113 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001002113 is an equidigital number, since it uses as much as digits as its factorization.

111001002113 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 11.

Adding to 111001002113 its reverse (311200100111), we get a palindrome (422201102224).

The spelling of 111001002113 in words is "one hundred eleven billion, one million, two thousand, one hundred thirteen".