104324114000133 has 40 divisors (see below), whose sum is σ = 156152483651736. Its totient is φ = 69411057062400.

The previous prime is 104324114000083. The next prime is 104324114000153. The reversal of 104324114000133 is 331000411423401.

104324114000133 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 241 + 1 + 400 + 0 + 13 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5829168010689 + 98494945989444 = 2414367^2 + 9924462^2 .

It is not a de Polignac number, because 104324114000133 - 2¹⁰ = 104324113999109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 104324114000097 and 104324114000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104324114000153) 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 39 ways as a sum of consecutive naturals, for example, 90718935 + ... + 91861707.

Almost surely, 2^{104324114000133} is an apocalyptic number.

It is an amenable number.

104324114000133 is a deficient number, since it is larger than the sum of its proper divisors (51828369651603).

104324114000133 is a wasteful number, since it uses less digits than its factorization.

104324114000133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145027 (or 1145018 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 104324114000133 its reverse (331000411423401), we get a palindrome (435324525423534).

The spelling of 104324114000133 in words is "one hundred four trillion, three hundred twenty-four billion, one hundred fourteen million, one hundred thirty-three", and thus it is an aban number.