100213030000233 has 6 divisors (see below), whose sum is σ = 144752154444794. Its totient is φ = 66808686666816.

The previous prime is 100213030000201. The next prime is 100213030000253. The reversal of 100213030000233 is 332000030312001.

100213030000233 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 130 + 300 + 0 + 0 + 233 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64255101701184 + 35957928299049 = 8015928^2 + 5996493^2 .

It is not a de Polignac number, because 100213030000233 - 2⁵ = 100213030000201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100213030000253) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5567390555560 + ... + 5567390555577.

Almost surely, 2^{100213030000233} is an apocalyptic number.

It is an amenable number.

100213030000233 is a deficient number, since it is larger than the sum of its proper divisors (44539124444561).

100213030000233 is a wasteful number, since it uses less digits than its factorization.

100213030000233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11134781111143 (or 11134781111140 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100213030000233 its reverse (332000030312001), we get a palindrome (432213060312234).

The spelling of 100213030000233 in words is "one hundred trillion, two hundred thirteen billion, thirty million, two hundred thirty-three", and thus it is an aban number.