1331321330224 has 80 divisors (see below), whose sum is σ = 2805315884800. Its totient is φ = 609979362048.

The previous prime is 1331321330161. The next prime is 1331321330239. The reversal of 1331321330224 is 4220331231331.

It is a junction number, because it is equal to n+sod(n) for n = 1331321330192 and 1331321330201.

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 15 ways as a sum of consecutive naturals, for example, 852022 + ... + 1840810.

It is an arithmetic number, because the mean of its divisors is an integer number (35066448560).

Almost surely, 2^{1331321330224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331321330224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402657942400).

1331321330224 is an abundant number, since it is smaller than the sum of its proper divisors (1473994554576).

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

1331321330224 is a wasteful number, since it uses less digits than its factorization.

1331321330224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988962 (or 988956 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 1331321330224 its reverse (4220331231331), we get a palindrome (5551652561555).

The spelling of 1331321330224 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-one million, three hundred thirty thousand, two hundred twenty-four".