312133100200 has 96 divisors (see below), whose sum is σ = 768575417400. Its totient is φ = 117481840640.

The previous prime is 312133100143. The next prime is 312133100207. The reversal of 312133100200 is 2001331213.

It can be written as a sum of positive squares in 12 ways, for example, as 882921796 + 311250178404 = 29714^2 + 557898^2 .

It is not an unprimeable number, because it can be changed into a prime (312133100207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20695062 + ... + 20710138.

Almost surely, 2^312133100200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312133100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384287708700).

312133100200 is an abundant number, since it is smaller than the sum of its proper divisors (456442317200).

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

312133100200 is a wasteful number, since it uses less digits than its factorization.

312133100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21199 (or 21190 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 312133100200 its reverse (2001331213), we get a palindrome (314134431413).

The spelling of 312133100200 in words is "three hundred twelve billion, one hundred thirty-three million, one hundred thousand, two hundred".