323213022133020 has 288 divisors, whose sum is σ = 1056083525812224. Its totient is φ = 79780067136000.

The previous prime is 323213022132937. The next prime is 323213022133031. The reversal of 323213022133020 is 20331220312323.

323213022133020 is a `hidden beast` number, since 3 + 2 + 3 + 2 + 1 + 302 + 2 + 1 + 330 + 20 = 666.

It is a super-3 number, since 3×323213022133020³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5377800970 + ... + 5377861070.

It is an arithmetic number, because the mean of its divisors is an integer number (3666956686848).

Almost surely, 2^{323213022133020} is an apocalyptic number.

323213022133020 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 323213022133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528041762906112).

323213022133020 is an abundant number, since it is smaller than the sum of its proper divisors (732870503679204).

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

323213022133020 is a wasteful number, since it uses less digits than its factorization.

323213022133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102073 (or 102068 counting only the distinct ones).

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

Adding to 323213022133020 its reverse (20331220312323), we get a palindrome (343544242445343).

The spelling of 323213022133020 in words is "three hundred twenty-three trillion, two hundred thirteen billion, twenty-two million, one hundred thirty-three thousand, twenty".