1331134041344 has 144 divisors (see below), whose sum is σ = 2891844135936. Its totient is φ = 608971161600.

The previous prime is 1331134041343. The next prime is 1331134041371. The reversal of 1331134041344 is 4431404311331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1331134041344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331134041343) 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 15 ways as a sum of consecutive naturals, for example, 243304529 + ... + 243309999.

It is an arithmetic number, because the mean of its divisors is an integer number (20082250944).

Almost surely, 2^{1331134041344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331134041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445922067968).

1331134041344 is an abundant number, since it is smaller than the sum of its proper divisors (1560710094592).

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

1331134041344 is a wasteful number, since it uses less digits than its factorization.

1331134041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7052 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 1331134041344 its reverse (4431404311331), we get a palindrome (5762538352675).

The spelling of 1331134041344 in words is "one trillion, three hundred thirty-one billion, one hundred thirty-four million, forty-one thousand, three hundred forty-four".