100010001101113 has 2 divisors, whose sum is σ = 100010001101114. Its totient is φ = 100010001101112.

The previous prime is 100010001101111. The next prime is 100010001101141. The reversal of 100010001101113 is 311101100010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54805785966649 + 45204215134464 = 7403093^2 + 6723408^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010001101113 - 2¹ = 100010001101111 is a prime.

Together with 100010001101111, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 100010001101113.

It is not a weakly prime, because it can be changed into another prime (100010001101111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005000550556 + 50005000550557.

It is an arithmetic number, because the mean of its divisors is an integer number (50005000550557).

Almost surely, 2^{100010001101113} is an apocalyptic number.

It is an amenable number.

100010001101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010001101113 is an equidigital number, since it uses as much as digits as its factorization.

100010001101113 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 10.

Adding to 100010001101113 its reverse (311101100010001), we get a palindrome (411111101111114).

The spelling of 100010001101113 in words is "one hundred trillion, ten billion, one million, one hundred one thousand, one hundred thirteen".