323213202120330 has 160 divisors (see below), whose sum is σ = 871133524042320. Its totient is φ = 85987141125120.

The previous prime is 323213202120307. The next prime is 323213202120331. The reversal of 323213202120330 is 33021202312323.

323213202120330 is a `hidden beast` number, since 3 + 2 + 3 + 2 + 1 + 3 + 202 + 120 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 114627193675281 + 208586008445049 = 10706409^2 + 14442507^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 323213202120294 and 323213202120303.

It is not an unprimeable number, because it can be changed into a prime (323213202120331) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 806942910 + ... + 807343350.

Almost surely, 2^{323213202120330} is an apocalyptic number.

323213202120330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 323213202120330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435566762021160).

323213202120330 is an abundant number, since it is smaller than the sum of its proper divisors (547920321921990).

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

323213202120330 is a wasteful number, since it uses less digits than its factorization.

323213202120330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402806 (or 402797 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 323213202120330 its reverse (33021202312323), we get a palindrome (356234404432653).

The spelling of 323213202120330 in words is "three hundred twenty-three trillion, two hundred thirteen billion, two hundred two million, one hundred twenty thousand, three hundred thirty".