1001100110113 has 2 divisors, whose sum is σ = 1001100110114. Its totient is φ = 1001100110112.

The previous prime is 1001100110081. The next prime is 1001100110117. The reversal of 1001100110113 is 3110110011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 879530735889 + 121569374224 = 937833^2 + 348668^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001100110113 - 2⁵ = 1001100110081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001100110113.

It is not a weakly prime, because it can be changed into another prime (1001100110117) 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, 500550055056 + 500550055057.

It is an arithmetic number, because the mean of its divisors is an integer number (500550055057).

Almost surely, 2^{1001100110113} is an apocalyptic number.

It is an amenable number.

1001100110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001100110113 is an equidigital number, since it uses as much as digits as its factorization.

1001100110113 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 1001100110113 its reverse (3110110011001), we get a palindrome (4111210121114).

The spelling of 1001100110113 in words is "one trillion, one billion, one hundred million, one hundred ten thousand, one hundred thirteen".