331122213000000 has 1176 divisors, whose sum is σ = 1238476379955672. Its totient is φ = 84499200000000.

The previous prime is 331122212999993. The next prime is 331122213000001. The reversal of 331122213000000 is 312221133.

331122213000000 is a `hidden beast` number, since 3 + 311 + 222 + 130 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 28 ways, for example, as 191984523799104 + 139137689200896 = 13855848^2 + 11795664^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331122213000001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 20312991850 + ... + 20313008150.

Almost surely, 2^{331122213000000} is an apocalyptic number.

331122213000000 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 331122213000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619238189977836).

331122213000000 is an abundant number, since it is smaller than the sum of its proper divisors (907354166955672).

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

331122213000000 is an equidigital number, since it uses as much as digits as its factorization.

331122213000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16447 (or 16409 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 331122213000000 its reverse (312221133), we get a palindrome (331122525221133).

The spelling of 331122213000000 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, two hundred thirteen million", and thus it is an aban number.