323131112100 has 216 divisors, whose sum is σ = 1044106376040. Its totient is φ = 83525437440.

The previous prime is 323131112099. The next prime is 323131112159. The reversal of 323131112100 is 1211131323.

323131112100 is a `hidden beast` number, since 3 + 231 + 311 + 121 + 0 + 0 = 666.

323131112100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 31971585636 + 291159526464 = 178806^2 + 539592^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8939664 + ... + 8975736.

It is an arithmetic number, because the mean of its divisors is an integer number (4833825815).

Almost surely, 2^323131112100 is an apocalyptic number.

323131112100 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 323131112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522053188020).

323131112100 is an abundant number, since it is smaller than the sum of its proper divisors (720975263940).

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

323131112100 is a wasteful number, since it uses less digits than its factorization.

323131112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36399 (or 36389 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 323131112100 its reverse (1211131323), we get a palindrome (324342243423).

The spelling of 323131112100 in words is "three hundred twenty-three billion, one hundred thirty-one million, one hundred twelve thousand, one hundred".