1110034100113 has 2 divisors, whose sum is σ = 1110034100114. Its totient is φ = 1110034100112.

The previous prime is 1110034100111. The next prime is 1110034100141. The reversal of 1110034100113 is 3110014300111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1093254265744 + 16779834369 = 1045588^2 + 129537^2 .

It is a cyclic number.

It is not a de Polignac number, because 1110034100113 - 2¹ = 1110034100111 is a prime.

It is a super-2 number, since 2×1110034100113² (a number of 25 digits) contains 22 as substring.

Together with 1110034100111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1110034100111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 555017050056 + 555017050057.

It is an arithmetic number, because the mean of its divisors is an integer number (555017050057).

Almost surely, 2^{1110034100113} is an apocalyptic number.

It is an amenable number.

1110034100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110034100113 is an equidigital number, since it uses as much as digits as its factorization.

1110034100113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1110034100113 its reverse (3110014300111), we get a palindrome (4220048400224).

The spelling of 1110034100113 in words is "one trillion, one hundred ten billion, thirty-four million, one hundred thousand, one hundred thirteen".