1000100009113 has 2 divisors, whose sum is σ = 1000100009114. Its totient is φ = 1000100009112.

The previous prime is 1000100009107. The next prime is 1000100009239. The reversal of 1000100009113 is 3119000010001.

It is a happy number.

1000100009113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 539443243024 + 460656766089 = 734468^2 + 678717^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000100009113 - 2⁵ = 1000100009081 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000100009413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050004556 + 500050004557.

It is an arithmetic number, because the mean of its divisors is an integer number (500050004557).

Almost surely, 2^{1000100009113} is an apocalyptic number.

It is an amenable number.

1000100009113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000100009113 is an equidigital number, since it uses as much as digits as its factorization.

1000100009113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 1000100009113 its reverse (3119000010001), we get a palindrome (4119100019114).

The spelling of 1000100009113 in words is "one trillion, one hundred million, nine thousand, one hundred thirteen".