100304517112133 has 8 divisors (see below), whose sum is σ = 100323117574680. Its totient is φ = 100285917384960.

The previous prime is 100304517112081. The next prime is 100304517112301. The reversal of 100304517112133 is 331211715403001.

It can be written as a sum of positive squares in 4 ways, for example, as 42942949229569 + 57361567882564 = 6553087^2 + 7573742^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100304517112133 - 2¹⁴ = 100304517095749 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100304517112133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100304517112733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325048391 + ... + 325356827.

It is an arithmetic number, because the mean of its divisors is an integer number (12540389696835).

Almost surely, 2^{100304517112133} is an apocalyptic number.

It is an amenable number.

100304517112133 is a deficient number, since it is larger than the sum of its proper divisors (18600462547).

100304517112133 is an equidigital number, since it uses as much as digits as its factorization.

100304517112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367687.

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 100304517112133 in words is "one hundred trillion, three hundred four billion, five hundred seventeen million, one hundred twelve thousand, one hundred thirty-three".