323213130000 has 900 divisors, whose sum is σ = 1211404260924. Its totient is φ = 80352000000.

The previous prime is 323213129951. The next prime is 323213130013. The reversal of 323213130000 is 31312323.

323213130000 is a `hidden beast` number, since 3 + 232 + 131 + 300 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 87902762256 + 235310367744 = 296484^2 + 485088^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3200129950 + ... + 3200130050.

Almost surely, 2^323213130000 is an apocalyptic number.

323213130000 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 323213130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605702130462).

323213130000 is an abundant number, since it is smaller than the sum of its proper divisors (888191130924).

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

323213130000 is a wasteful number, since it uses less digits than its factorization.

323213130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 323213130000 its reverse (31312323), we get a palindrome (323244442323).

The spelling of 323213130000 in words is "three hundred twenty-three billion, two hundred thirteen million, one hundred thirty thousand".