10100133100233 has 48 divisors (see below), whose sum is σ = 16230023447040. Its totient is φ = 6000473606400.

The previous prime is 10100133100231. The next prime is 10100133100237. The reversal of 10100133100233 is 33200133100101.

It is a happy number.

10100133100233 is a `hidden beast` number, since 1 + 0 + 100 + 1 + 331 + 0 + 0 + 233 = 666.

It is not a de Polignac number, because 10100133100233 - 2¹ = 10100133100231 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100133100231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5071368 + ... + 6776358.

It is an arithmetic number, because the mean of its divisors is an integer number (338125488480).

Almost surely, 2^{10100133100233} is an apocalyptic number.

It is an amenable number.

10100133100233 is a deficient number, since it is larger than the sum of its proper divisors (6129890346807).

10100133100233 is a wasteful number, since it uses less digits than its factorization.

10100133100233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706190 (or 1706187 counting only the distinct ones).

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

Adding to 10100133100233 its reverse (33200133100101), we get a palindrome (43300266200334).

The spelling of 10100133100233 in words is "ten trillion, one hundred billion, one hundred thirty-three million, one hundred thousand, two hundred thirty-three".