1331033320064 has 32 divisors (see below), whose sum is σ = 3030477650400. Its totient is φ = 570442851072.

The previous prime is 1331033320063. The next prime is 1331033320159. The reversal of 1331033320064 is 4600233301331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1331033320063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 742763234 + ... + 742765025.

It is an arithmetic number, because the mean of its divisors is an integer number (94702426575).

Almost surely, 2^{1331033320064} is an apocalyptic number.

1331033320064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1331033320064 is an abundant number, since it is smaller than the sum of its proper divisors (1699444330336).

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

1331033320064 is an equidigital number, since it uses as much as digits as its factorization.

1331033320064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485528280 (or 1485528268 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 1331033320064 its reverse (4600233301331), we get a palindrome (5931266621395).

The spelling of 1331033320064 in words is "one trillion, three hundred thirty-one billion, thirty-three million, three hundred twenty thousand, sixty-four".