1110000101113 has 2 divisors, whose sum is σ = 1110000101114. Its totient is φ = 1110000101112.

The previous prime is 1110000101087. The next prime is 1110000101131. The reversal of 1110000101113 is 3111010000111.

Together with next prime (1110000101131) 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., 1108707914304 + 1292186809 = 1052952^2 + 35947^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1110000101113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1110000101113.

It is not a weakly prime, because it can be changed into another prime (1110000101143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 555000050556 + 555000050557.

It is an arithmetic number, because the mean of its divisors is an integer number (555000050557).

Almost surely, 2^{1110000101113} is an apocalyptic number.

It is an amenable number.

1110000101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110000101113 is an equidigital number, since it uses as much as digits as its factorization.

1110000101113 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 1110000101113 its reverse (3111010000111), we get a palindrome (4221010101224).

The spelling of 1110000101113 in words is "one trillion, one hundred ten billion, one hundred one thousand, one hundred thirteen".