111000001100113 has 2 divisors, whose sum is σ = 111000001100114. Its totient is φ = 111000001100112.

The previous prime is 111000001100111. The next prime is 111000001100117. The reversal of 111000001100113 is 311001100000111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75578541862464 + 35421459237649 = 8693592^2 + 5951593^2 .

It is a cyclic number.

It is not a de Polignac number, because 111000001100113 - 2¹ = 111000001100111 is a prime.

It is a super-2 number, since 2×111000001100113² (a number of 29 digits) contains 22 as substring.

Together with 111000001100111, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 111000001100113.

It is not a weakly prime, because it can be changed into another prime (111000001100111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500000550056 + 55500000550057.

It is an arithmetic number, because the mean of its divisors is an integer number (55500000550057).

Almost surely, 2^{111000001100113} is an apocalyptic number.

It is an amenable number.

111000001100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

111000001100113 is an equidigital number, since it uses as much as digits as its factorization.

111000001100113 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 10.

Adding to 111000001100113 its reverse (311001100000111), we get a palindrome (422001101100224).

The spelling of 111000001100113 in words is "one hundred eleven trillion, one million, one hundred thousand, one hundred thirteen".