100312333210133 has 48 divisors (see below), whose sum is σ = 118043593297920. Its totient is φ = 84505848134400.

The previous prime is 100312333210121. The next prime is 100312333210163. The reversal of 100312333210133 is 331012333213001.

It is not a de Polignac number, because 100312333210133 - 2¹⁸ = 100312332947989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100312333210163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167402708 + ... + 168000866.

It is an arithmetic number, because the mean of its divisors is an integer number (2459241527040).

Almost surely, 2^{100312333210133} is an apocalyptic number.

It is an amenable number.

100312333210133 is a deficient number, since it is larger than the sum of its proper divisors (17731260087787).

100312333210133 is a wasteful number, since it uses less digits than its factorization.

100312333210133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599018 (or 599001 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 100312333210133 its reverse (331012333213001), we get a palindrome (431324666423134).

The spelling of 100312333210133 in words is "one hundred trillion, three hundred twelve billion, three hundred thirty-three million, two hundred ten thousand, one hundred thirty-three".