1331313131440 has 80 divisors (see below), whose sum is σ = 3207648581280. Its totient is φ = 513261342720.

The previous prime is 1331313131399. The next prime is 1331313131441. The reversal of 1331313131440 is 441313131331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1331313131399 and 1331313131408.

It is not an unprimeable number, because it can be changed into a prime (1331313131441) 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 15 ways as a sum of consecutive naturals, for example, 822232 + ... + 1827208.

It is an arithmetic number, because the mean of its divisors is an integer number (40095607266).

Almost surely, 2^{1331313131440} is an apocalyptic number.

1331313131440 is a gapful number since it is divisible by the number (10) 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 1331313131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603824290640).

1331313131440 is an abundant number, since it is smaller than the sum of its proper divisors (1876335449840).

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

1331313131440 is a wasteful number, since it uses less digits than its factorization.

1331313131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005590 (or 1005584 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 1331313131440 its reverse (441313131331), we get a palindrome (1772626262771).

The spelling of 1331313131440 in words is "one trillion, three hundred thirty-one billion, three hundred thirteen million, one hundred thirty-one thousand, four hundred forty".