100111133312033 has 8 divisors (see below), whose sum is σ = 100119164726400. Its totient is φ = 100103102244288.

The previous prime is 100111133312027. The next prime is 100111133312039. The reversal of 100111133312033 is 330213331111001.

It is an interprime number because it is at equal distance from previous prime (100111133312027) and next prime (100111133312039).

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 100111133312033 - 2²⁴ = 100111116534817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111133312039) 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 7 ways as a sum of consecutive naturals, for example, 935625785 + ... + 935732777.

It is an arithmetic number, because the mean of its divisors is an integer number (12514895590800).

Almost surely, 2^{100111133312033} is an apocalyptic number.

It is an amenable number.

100111133312033 is a deficient number, since it is larger than the sum of its proper divisors (8031414367).

100111133312033 is a wasteful number, since it uses less digits than its factorization.

100111133312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173311.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 100111133312033 its reverse (330213331111001), we get a palindrome (430324464423034).

The spelling of 100111133312033 in words is "one hundred trillion, one hundred eleven billion, one hundred thirty-three million, three hundred twelve thousand, thirty-three".