100113330200301 has 24 divisors (see below), whose sum is σ = 157779116361984. Its totient is φ = 60665215628160.

The previous prime is 100113330200269. The next prime is 100113330200327. The reversal of 100113330200301 is 103002033311001.

It is a happy number.

100113330200301 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 13 + 330 + 20 + 0 + 301 = 666.

It is not a de Polignac number, because 100113330200301 - 2⁵ = 100113330200269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113330200101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78782716 + ... + 80043381.

It is an arithmetic number, because the mean of its divisors is an integer number (6574129848416).

Almost surely, 2^{100113330200301} is an apocalyptic number.

100113330200301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100113330200301 is a deficient number, since it is larger than the sum of its proper divisors (57665786161683).

100113330200301 is a wasteful number, since it uses less digits than its factorization.

100113330200301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158832481 (or 158832478 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100113330200301 its reverse (103002033311001), we get a palindrome (203115363511302).

The spelling of 100113330200301 in words is "one hundred trillion, one hundred thirteen billion, three hundred thirty million, two hundred thousand, three hundred one".