10003123100133 has 6 divisors (see below), whose sum is σ = 14448955589094. Its totient is φ = 6668748733416.

The previous prime is 10003123100119. The next prime is 10003123100141. The reversal of 10003123100133 is 33100132130001.

It is a happy number.

10003123100133 is a `hidden beast` number, since 10 + 0 + 0 + 312 + 310 + 0 + 1 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5922569578689 + 4080553521444 = 2433633^2 + 2020038^2 .

It is not a de Polignac number, because 10003123100133 - 2⁸ = 10003123099877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003123100233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555729061110 + ... + 555729061127.

It is an arithmetic number, because the mean of its divisors is an integer number (2408159264849).

Almost surely, 2^{10003123100133} is an apocalyptic number.

It is an amenable number.

10003123100133 is a deficient number, since it is larger than the sum of its proper divisors (4445832488961).

10003123100133 is a wasteful number, since it uses less digits than its factorization.

10003123100133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111458122243 (or 1111458122240 counting only the distinct ones).

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

Adding to 10003123100133 its reverse (33100132130001), we get a palindrome (43103255230134).

The spelling of 10003123100133 in words is "ten trillion, three billion, one hundred twenty-three million, one hundred thousand, one hundred thirty-three".