1331323411104 has 144 divisors (see below), whose sum is σ = 3990032373600. Its totient is φ = 419909349888.

The previous prime is 1331323411057. The next prime is 1331323411109. The reversal of 1331323411104 is 4011143231331.

1331323411104 is a `hidden beast` number, since 1 + 3 + 313 + 2 + 341 + 1 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1331323411109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4389547 + ... + 4683029.

It is an arithmetic number, because the mean of its divisors is an integer number (27708558150).

Almost surely, 2^{1331323411104} 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 1331323411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995016186800).

1331323411104 is an abundant number, since it is smaller than the sum of its proper divisors (2658708962496).

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

1331323411104 is a wasteful number, since it uses less digits than its factorization.

1331323411104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294347 (or 294336 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1331323411104 its reverse (4011143231331), we get a palindrome (5342466642435).

The spelling of 1331323411104 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-three million, four hundred eleven thousand, one hundred four".