1321331305014 has 128 divisors (see below), whose sum is σ = 3362442240000. Its totient is φ = 376772697504.

The previous prime is 1321331305013. The next prime is 1321331305033. The reversal of 1321331305014 is 4105031331231.

1321331305014 is a `hidden beast` number, since 1 + 3 + 21 + 3 + 3 + 130 + 501 + 4 = 666.

It is a super-2 number, since 2×1321331305014² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321331305013) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 777710337 + ... + 777712035.

It is an arithmetic number, because the mean of its divisors is an integer number (26269080000).

Almost surely, 2^{1321331305014} is an apocalyptic number.

1321331305014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1321331305014 is an abundant number, since it is smaller than the sum of its proper divisors (2041110934986).

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

1321331305014 is a wasteful number, since it uses less digits than its factorization.

1321331305014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4599 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 1321331305014 its reverse (4105031331231), we get a palindrome (5426362636245).

The spelling of 1321331305014 in words is "one trillion, three hundred twenty-one billion, three hundred thirty-one million, three hundred five thousand, fourteen".