100113330333321 has 24 divisors (see below), whose sum is σ = 145089520800224. Its totient is φ = 66520077223680.

The previous prime is 100113330333281. The next prime is 100113330333329. The reversal of 100113330333321 is 123333033311001.

100113330333321 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 3 + 3 + 3 + 0 + 333 + 321 = 666.

It is not a de Polignac number, because 100113330333321 - 2¹⁸ = 100113330071177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100113330333329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37693401 + ... + 40261881.

Almost surely, 2^{100113330333321} is an apocalyptic number.

It is an amenable number.

100113330333321 is a deficient number, since it is larger than the sum of its proper divisors (44976190466903).

100113330333321 is a wasteful number, since it uses less digits than its factorization.

100113330333321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582901 (or 2582898 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 100113330333321 its reverse (123333033311001), we get a palindrome (223446363644322).

The spelling of 100113330333321 in words is "one hundred trillion, one hundred thirteen billion, three hundred thirty million, three hundred thirty-three thousand, three hundred twenty-one".