110011000001113 has 2 divisors, whose sum is σ = 110011000001114. Its totient is φ = 110011000001112.

The previous prime is 110011000001011. The next prime is 110011000001197. The reversal of 110011000001113 is 311100000110011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61854575693824 + 48156424307289 = 7864768^2 + 6939483^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110011000001113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110011000001113.

It is not a weakly prime, because it can be changed into another prime (110011003001113) 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, 55005500000556 + 55005500000557.

It is an arithmetic number, because the mean of its divisors is an integer number (55005500000557).

Almost surely, 2^{110011000001113} is an apocalyptic number.

It is an amenable number.

110011000001113 is a deficient number, since it is larger than the sum of its proper divisors (1).

110011000001113 is an equidigital number, since it uses as much as digits as its factorization.

110011000001113 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 110011000001113 its reverse (311100000110011), we get a palindrome (421111000111124).

The spelling of 110011000001113 in words is "one hundred ten trillion, eleven billion, one thousand, one hundred thirteen".