1331320331133 has 48 divisors (see below), whose sum is σ = 2080057883904. Its totient is φ = 815671814400.

The previous prime is 1331320331093. The next prime is 1331320331219. The reversal of 1331320331133 is 3311330231331.

1331320331133 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 320 + 331 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 1331320331133 - 2¹² = 1331320327037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1331320331097 and 1331320331106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331320331233) 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 47 ways as a sum of consecutive naturals, for example, 55406560 + ... + 55430582.

It is an arithmetic number, because the mean of its divisors is an integer number (43334539248).

Almost surely, 2^{1331320331133} is an apocalyptic number.

1331320331133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1331320331133 is a deficient number, since it is larger than the sum of its proper divisors (748737552771).

1331320331133 is a wasteful number, since it uses less digits than its factorization.

1331320331133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26106 (or 26103 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 1331320331133 its reverse (3311330231331), we get a palindrome (4642650562464).

The spelling of 1331320331133 in words is "one trillion, three hundred thirty-one billion, three hundred twenty million, three hundred thirty-one thousand, one hundred thirty-three".