1110110001113 has 2 divisors, whose sum is σ = 1110110001114. Its totient is φ = 1110110001112.

The previous prime is 1110110001109. The next prime is 1110110001199. The reversal of 1110110001113 is 3111000110111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1109120709904 + 989291209 = 1053148^2 + 31453^2 .

It is a cyclic number.

It is not a de Polignac number, because 1110110001113 - 2² = 1110110001109 is a prime.

It is a super-2 number, since 2×1110110001113² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1110110001094 and 1110110001103.

It is not a weakly prime, because it can be changed into another prime (1110110001713) 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, 555055000556 + 555055000557.

It is an arithmetic number, because the mean of its divisors is an integer number (555055000557).

Almost surely, 2^{1110110001113} is an apocalyptic number.

It is an amenable number.

1110110001113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110110001113 is an equidigital number, since it uses as much as digits as its factorization.

1110110001113 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 1110110001113 its reverse (3111000110111), we get a palindrome (4221110111224).

The spelling of 1110110001113 in words is "one trillion, one hundred ten billion, one hundred ten million, one thousand, one hundred thirteen".