10001100113 has 2 divisors, whose sum is σ = 10001100114. Its totient is φ = 10001100112.

The previous prime is 10001100103. The next prime is 10001100149. The reversal of 10001100113 is 31100110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8807259409 + 1193840704 = 93847^2 + 34552^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001100113 - 2¹⁸ = 10000837969 is a prime.

It is a super-2 number, since 2×10001100113² (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10001100113.

It is not a weakly prime, because it can be changed into another prime (10001100103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550056 + 5000550057.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550057).

Almost surely, 2^10001100113 is an apocalyptic number.

It is an amenable number.

10001100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001100113 is an equidigital number, since it uses as much as digits as its factorization.

10001100113 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 8.

Adding to 10001100113 its reverse (31100110001), we get a palindrome (41101210114).

The spelling of 10001100113 in words is "ten billion, one million, one hundred thousand, one hundred thirteen".