1321311340240 has 20 divisors (see below), whose sum is σ = 3072048866244. Its totient is φ = 528524536064.

The previous prime is 1321311340213. The next prime is 1321311340247. The reversal of 1321311340240 is 420431131231.

It can be written as a sum of positive squares in 2 ways, for example, as 872722166416 + 448589173824 = 934196^2 + 669768^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-4 number, since 4×1321311340240⁴ (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321311340247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8258195797 + ... + 8258195956.

Almost surely, 2^{1321311340240} is an apocalyptic number.

1321311340240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321311340240 is an abundant number, since it is smaller than the sum of its proper divisors (1750737526004).

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

1321311340240 is a wasteful number, since it uses less digits than its factorization.

1321311340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16516391766 (or 16516391760 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1321311340240 its reverse (420431131231), we get a palindrome (1741742471471).

The spelling of 1321311340240 in words is "one trillion, three hundred twenty-one billion, three hundred eleven million, three hundred forty thousand, two hundred forty".