100312133201 has 8 divisors (see below), whose sum is σ = 117308541504. Its totient is φ = 83982250800.

The previous prime is 100312133177. The next prime is 100312133219. The reversal of 100312133201 is 102331213001.

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

It is not a de Polignac number, because 100312133201 - 2³⁰ = 99238391377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100312133201.

It is not an unprimeable number, because it can be changed into a prime (100312133501) 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 7 ways as a sum of consecutive naturals, for example, 166631150 + ... + 166631751.

It is an arithmetic number, because the mean of its divisors is an integer number (14663567688).

Almost surely, 2^100312133201 is an apocalyptic number.

It is an amenable number.

100312133201 is a deficient number, since it is larger than the sum of its proper divisors (16996408303).

100312133201 is an equidigital number, since it uses as much as digits as its factorization.

100312133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333262951.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100312133201 its reverse (102331213001), we get a palindrome (202643346202).

The spelling of 100312133201 in words is "one hundred billion, three hundred twelve million, one hundred thirty-three thousand, two hundred one".