3133222032000 has 256 divisors, whose sum is σ = 10389224851200. Its totient is φ = 835317248000.

The previous prime is 3133222031977. The next prime is 3133222032019. The reversal of 3133222032000 is 2302223313.

It is a super-4 number, since 4×3133222032000⁴ (a number of 51 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339787390 + ... + 339796610.

It is an arithmetic number, because the mean of its divisors is an integer number (40582909575).

Almost surely, 2^{3133222032000} is an apocalyptic number.

3133222032000 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 3133222032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194612425600).

3133222032000 is an abundant number, since it is smaller than the sum of its proper divisors (7256002819200).

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

3133222032000 is an equidigital number, since it uses as much as digits as its factorization.

3133222032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16332 (or 16310 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 3133222032000 its reverse (2302223313), we get a palindrome (3135524255313).

The spelling of 3133222032000 in words is "three trillion, one hundred thirty-three billion, two hundred twenty-two million, thirty-two thousand".