312324431100 has 144 divisors (see below), whose sum is σ = 995571029376. Its totient is φ = 74965280000.

The previous prime is 312324431087. The next prime is 312324431113. The reversal of 312324431100 is 1134423213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312324431087) and next prime (312324431113).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135234 + ... + 801833.

It is an arithmetic number, because the mean of its divisors is an integer number (6913687704).

Almost surely, 2^312324431100 is an apocalyptic number.

312324431100 is a gapful number since it is divisible by the number (30) 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 312324431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497785514688).

312324431100 is an abundant number, since it is smaller than the sum of its proper divisors (683246598276).

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

312324431100 is a wasteful number, since it uses less digits than its factorization.

312324431100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937196 (or 937189 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 312324431100 its reverse (1134423213), we get a palindrome (313458854313).

The spelling of 312324431100 in words is "three hundred twelve billion, three hundred twenty-four million, four hundred thirty-one thousand, one hundred".