101030123133 has 24 divisors (see below), whose sum is σ = 147503696600. Its totient is φ = 66631953024.

The previous prime is 101030123093. The next prime is 101030123203. The reversal of 101030123133 is 331321030101.

It is a happy number.

101030123133 is a `hidden beast` number, since 101 + 0 + 301 + 231 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33781704804 + 67248418329 = 183798^2 + 259323^2 .

It is not a de Polignac number, because 101030123133 - 2⁸ = 101030122877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101030123333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167463 + ... + 479691.

Almost surely, 2^101030123133 is an apocalyptic number.

It is an amenable number.

101030123133 is a deficient number, since it is larger than the sum of its proper divisors (46473573467).

101030123133 is a wasteful number, since it uses less digits than its factorization.

101030123133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312621 (or 312618 counting only the distinct ones).

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

Adding to 101030123133 its reverse (331321030101), we get a palindrome (432351153234).

The spelling of 101030123133 in words is "one hundred one billion, thirty million, one hundred twenty-three thousand, one hundred thirty-three".