323331412100 has 72 divisors (see below), whose sum is σ = 710841018888. Its totient is φ = 127645465600.

The previous prime is 323331412099. The next prime is 323331412147. The reversal of 323331412100 is 1214133323.

It can be written as a sum of positive squares in 12 ways, for example, as 82666600324 + 240664811776 = 287518^2 + 490576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2301890 + ... + 2438310.

It is an arithmetic number, because the mean of its divisors is an integer number (9872791929).

Almost surely, 2^323331412100 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 323331412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355420509444).

323331412100 is an abundant number, since it is smaller than the sum of its proper divisors (387509606788).

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

323331412100 is a wasteful number, since it uses less digits than its factorization.

323331412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136745 (or 136738 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 323331412100 its reverse (1214133323), we get a palindrome (324545545423).

The spelling of 323331412100 in words is "three hundred twenty-three billion, three hundred thirty-one million, four hundred twelve thousand, one hundred".