100312333210000 has 100 divisors (see below), whose sum is σ = 243088825163184. Its totient is φ = 40088150800000.

The previous prime is 100312333209983. The next prime is 100312333210027. The reversal of 100312333210000 is 12333213001.

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 100312333210000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6312735 + ... + 15507265.

Almost surely, 2^{100312333210000} is an apocalyptic number.

100312333210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100312333210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121544412581592).

100312333210000 is an abundant number, since it is smaller than the sum of its proper divisors (142776491953184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100312333210000 is an equidigital number, since it uses as much as digits as its factorization.

100312333210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9195650 (or 9195629 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100312333210000 its reverse (12333213001), we get a palindrome (100324666423001).

The spelling of 100312333210000 in words is "one hundred trillion, three hundred twelve billion, three hundred thirty-three million, two hundred ten thousand".