100213113330 has 80 divisors (see below), whose sum is σ = 293958491904. Its totient is φ = 24294085920.

The previous prime is 100213113307. The next prime is 100213113331. The reversal of 100213113330 is 33311312001.

It is a happy number.

100213113330 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 311 + 3 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100213113331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5614722 + ... + 5632541.

Almost surely, 2^100213113330 is an apocalyptic number.

100213113330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100213113330 is an abundant number, since it is smaller than the sum of its proper divisors (193745378574).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100213113330 is a wasteful number, since it uses less digits than its factorization.

100213113330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11247293 (or 11247284 counting only the distinct ones).

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

Adding to 100213113330 its reverse (33311312001), we get a palindrome (133524425331).

The spelling of 100213113330 in words is "one hundred billion, two hundred thirteen million, one hundred thirteen thousand, three hundred thirty".