100213203133233 has 24 divisors (see below), whose sum is σ = 144827793609408. Its totient is φ = 66774011849952.

The previous prime is 100213203133217. The next prime is 100213203133243. The reversal of 100213203133233 is 332331302312001.

100213203133233 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 3 + 20 + 313 + 323 + 3 = 666.

It is not a de Polignac number, because 100213203133233 - 2⁴ = 100213203133217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100213203133197 and 100213203133206.

It is not an unprimeable number, because it can be changed into a prime (100213203133243) 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, 264702991 + ... + 265081307.

It is an arithmetic number, because the mean of its divisors is an integer number (6034491400392).

Almost surely, 2^{100213203133233} is an apocalyptic number.

It is an amenable number.

100213203133233 is a deficient number, since it is larger than the sum of its proper divisors (44614590476175).

100213203133233 is a wasteful number, since it uses less digits than its factorization.

100213203133233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393573 (or 393570 counting only the distinct ones).

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

Adding to 100213203133233 its reverse (332331302312001), we get a palindrome (432544505445234).

The spelling of 100213203133233 in words is "one hundred trillion, two hundred thirteen billion, two hundred three million, one hundred thirty-three thousand, two hundred thirty-three".