1110111100013 has 2 divisors, whose sum is σ = 1110111100014. Its totient is φ = 1110111100012.

The previous prime is 1110111100001. The next prime is 1110111100067. The reversal of 1110111100013 is 3100011110111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1003999992004 + 106111108009 = 1001998^2 + 325747^2 .

It is a cyclic number.

It is not a de Polignac number, because 1110111100013 - 2¹⁶ = 1110111034477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1110111099967 and 1110111100003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1110111105013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 555055550006 + 555055550007.

It is an arithmetic number, because the mean of its divisors is an integer number (555055550007).

Almost surely, 2^{1110111100013} is an apocalyptic number.

It is an amenable number.

1110111100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110111100013 is an equidigital number, since it uses as much as digits as its factorization.

1110111100013 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 1110111100013 its reverse (3100011110111), we get a palindrome (4210122210124).

The spelling of 1110111100013 in words is "one trillion, one hundred ten billion, one hundred eleven million, one hundred thousand, thirteen".