322133130000000 has 1536 divisors, whose sum is σ = 1276282092084480. Its totient is φ = 77337600000000.

The previous prime is 322133129999981. The next prime is 322133130000067. The reversal of 322133130000000 is 31331223.

322133130000000 is a `hidden beast` number, since 32 + 2 + 1 + 331 + 300 + 0 + 0 + 0 + 0 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105929998480 + ... + 105930001520.

Almost surely, 2^{322133130000000} is an apocalyptic number.

322133130000000 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 322133130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638141046042240).

322133130000000 is an abundant number, since it is smaller than the sum of its proper divisors (954148962084480).

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

322133130000000 is an equidigital number, since it uses as much as digits as its factorization.

322133130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 3169 counting only the distinct ones).

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

Adding to 322133130000000 its reverse (31331223), we get a palindrome (322133161331223).

The spelling of 322133130000000 in words is "three hundred twenty-two trillion, one hundred thirty-three billion, one hundred thirty million", and thus it is an aban number.