1331141344344 has 128 divisors (see below), whose sum is σ = 4226217292800. Its totient is φ = 380292641280.

The previous prime is 1331141344333. The next prime is 1331141344387. The reversal of 1331141344344 is 4434431411331.

1331141344344 is a `hidden beast` number, since 1 + 3 + 31 + 141 + 3 + 443 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1331141344299 and 1331141344308.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 20895789 + ... + 20959395.

It is an arithmetic number, because the mean of its divisors is an integer number (33017322600).

Almost surely, 2^{1331141344344} is an apocalyptic number.

1331141344344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1331141344344 is an abundant number, since it is smaller than the sum of its proper divisors (2895075948456).

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

1331141344344 is a wasteful number, since it uses less digits than its factorization.

1331141344344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77470 (or 77460 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 1331141344344 its reverse (4434431411331), we get a palindrome (5765572755675).

The spelling of 1331141344344 in words is "one trillion, three hundred thirty-one billion, one hundred forty-one million, three hundred forty-four thousand, three hundred forty-four".