312133230100 has 36 divisors (see below), whose sum is σ = 678022595964. Its totient is φ = 124725460480.

The previous prime is 312133230091. The next prime is 312133230107. The reversal of 312133230100 is 1032331213.

It can be written as a sum of positive squares in 6 ways, for example, as 70151879044 + 241981351056 = 264862^2 + 491916^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312133230107) 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 11 ways as a sum of consecutive naturals, for example, 1499707 + ... + 1695106.

It is an arithmetic number, because the mean of its divisors is an integer number (18833960999).

Almost surely, 2^312133230100 is an apocalyptic number.

It is an amenable number.

312133230100 is an abundant number, since it is smaller than the sum of its proper divisors (365889365864).

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

312133230100 is a wasteful number, since it uses less digits than its factorization.

312133230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195804 (or 3195797 counting only the distinct ones).

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

Adding to 312133230100 its reverse (1032331213), we get a palindrome (313165561313).

The spelling of 312133230100 in words is "three hundred twelve billion, one hundred thirty-three million, two hundred thirty thousand, one hundred".