100211133313233 has 12 divisors (see below), whose sum is σ = 144763464168960. Its totient is φ = 66800937878136.

The previous prime is 100211133313121. The next prime is 100211133313237. The reversal of 100211133313233 is 332313331112001.

100211133313233 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 1 + 1 + 3 + 331 + 323 + 3 = 666.

It is not a de Polignac number, because 100211133313233 - 2²⁰ = 100211132264657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100211133313197 and 100211133313206.

It is not an unprimeable number, because it can be changed into a prime (100211133313237) 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 11 ways as a sum of consecutive naturals, for example, 540263013 + ... + 540448466.

It is an arithmetic number, because the mean of its divisors is an integer number (12063622014080).

Almost surely, 2^{100211133313233} is an apocalyptic number.

It is an amenable number.

100211133313233 is a deficient number, since it is larger than the sum of its proper divisors (44552330855727).

100211133313233 is a wasteful number, since it uses less digits than its factorization.

100211133313233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080721788 (or 1080721785 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 100211133313233 its reverse (332313331112001), we get a palindrome (432524464425234).

The spelling of 100211133313233 in words is "one hundred trillion, two hundred eleven billion, one hundred thirty-three million, three hundred thirteen thousand, two hundred thirty-three".