1110100111013 has 2 divisors, whose sum is σ = 1110100111014. Its totient is φ = 1110100111012.

The previous prime is 1110100110997. The next prime is 1110100111091. The reversal of 1110100111013 is 3101110010111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1038609650884 + 71490460129 = 1019122^2 + 267377^2 .

It is an emirp because it is prime and its reverse (3101110010111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1110100111013 - 2⁴ = 1110100110997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1110100110985 and 1110100111003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1110100311013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 555050055506 + 555050055507.

It is an arithmetic number, because the mean of its divisors is an integer number (555050055507).

Almost surely, 2^{1110100111013} is an apocalyptic number.

It is an amenable number.

1110100111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110100111013 is an equidigital number, since it uses as much as digits as its factorization.

1110100111013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 1110100111013 its reverse (3101110010111), we get a palindrome (4211210121124).

The spelling of 1110100111013 in words is "one trillion, one hundred ten billion, one hundred million, one hundred eleven thousand, thirteen".