100133000041 has 6 divisors (see below), whose sum is σ = 106369657790. Its totient is φ = 94242823296.

The previous prime is 100132999937. The next prime is 100133000089. The reversal of 100133000041 is 140000331001.

It can be written as a sum of positive squares in 3 ways, for example, as 34883406441 + 65249593600 = 186771^2 + 255440^2 .

It is not a de Polignac number, because 100133000041 - 2³¹ = 97985516393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100132999985 and 100133000030.

It is not an unprimeable number, because it can be changed into a prime (100133000141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 173240196 + ... + 173240773.

Almost surely, 2^100133000041 is an apocalyptic number.

It is an amenable number.

100133000041 is a deficient number, since it is larger than the sum of its proper divisors (6236657749).

100133000041 is an equidigital number, since it uses as much as digits as its factorization.

100133000041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346481003 (or 346480986 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100133000041 its reverse (140000331001), we get a palindrome (240133331042).

The spelling of 100133000041 in words is "one hundred billion, one hundred thirty-three million, forty-one", and thus it is an aban number.