1001100300113 has 2 divisors, whose sum is σ = 1001100300114. Its totient is φ = 1001100300112.

The previous prime is 1001100300089. The next prime is 1001100300127. The reversal of 1001100300113 is 3110030011001.

It is a happy number.

1001100300113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 936071730064 + 65028570049 = 967508^2 + 255007^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001100300113 - 2²² = 1001096105809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001100300094 and 1001100300103.

It is not a weakly prime, because it can be changed into another prime (1001100300913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550150056 + 500550150057.

It is an arithmetic number, because the mean of its divisors is an integer number (500550150057).

Almost surely, 2^{1001100300113} is an apocalyptic number.

It is an amenable number.

1001100300113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001100300113 is an equidigital number, since it uses as much as digits as its factorization.

1001100300113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 1001100300113 its reverse (3110030011001), we get a palindrome (4111130311114).

The spelling of 1001100300113 in words is "one trillion, one billion, one hundred million, three hundred thousand, one hundred thirteen".