100133221230333 has 24 divisors (see below), whose sum is σ = 146192142864768. Its totient is φ = 66039005404512.

The previous prime is 100133221230319. The next prime is 100133221230391. The reversal of 100133221230333 is 333032122331001.

100133221230333 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 322 + 1 + 2 + 3 + 0 + 333 = 666.

It is not a de Polignac number, because 100133221230333 - 2¹³ = 100133221222141 is a prime.

It is a super-2 number, since 2×100133221230333² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100133221230297 and 100133221230306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133221231333) 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, 54956010 + ... + 56748827.

It is an arithmetic number, because the mean of its divisors is an integer number (6091339286032).

Almost surely, 2^{100133221230333} is an apocalyptic number.

It is an amenable number.

100133221230333 is a deficient number, since it is larger than the sum of its proper divisors (46058921634435).

100133221230333 is a wasteful number, since it uses less digits than its factorization.

100133221230333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111705913 (or 111705910 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 100133221230333 its reverse (333032122331001), we get a palindrome (433165343561334).

The spelling of 100133221230333 in words is "one hundred trillion, one hundred thirty-three billion, two hundred twenty-one million, two hundred thirty thousand, three hundred thirty-three".