1111100010113 has 2 divisors, whose sum is σ = 1111100010114. Its totient is φ = 1111100010112.

The previous prime is 1111100010029. The next prime is 1111100010131. The reversal of 1111100010113 is 3110100011111.

Together with next prime (1111100010131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1087573665424 + 23526344689 = 1042868^2 + 153383^2 .

It is a cyclic number.

It is not a de Polignac number, because 1111100010113 - 2²⁶ = 1111032901249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1111100010094 and 1111100010103.

It is not a weakly prime, because it can be changed into another prime (1111100010143) 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, 555550005056 + 555550005057.

It is an arithmetic number, because the mean of its divisors is an integer number (555550005057).

Almost surely, 2^{1111100010113} is an apocalyptic number.

It is an amenable number.

1111100010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1111100010113 is an equidigital number, since it uses as much as digits as its factorization.

1111100010113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 1111100010113 its reverse (3110100011111), we get a palindrome (4221200021224).

The spelling of 1111100010113 in words is "one trillion, one hundred eleven billion, one hundred million, ten thousand, one hundred thirteen".