1331332312113 has 6 divisors (see below), whose sum is σ = 1923035561954. Its totient is φ = 887554874736.

The previous prime is 1331332312103. The next prime is 1331332312181. The reversal of 1331332312113 is 3112132331331.

1331332312113 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 332 + 312 + 1 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1220810639409 + 110521672704 = 1104903^2 + 332448^2 .

It is not a de Polignac number, because 1331332312113 - 2¹² = 1331332308017 is a prime.

It is a super-2 number, since 2×1331332312113² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331332312103) 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 5 ways as a sum of consecutive naturals, for example, 73962906220 + ... + 73962906237.

Almost surely, 2^{1331332312113} is an apocalyptic number.

It is an amenable number.

1331332312113 is a deficient number, since it is larger than the sum of its proper divisors (591703249841).

1331332312113 is a wasteful number, since it uses less digits than its factorization.

1331332312113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147925812463 (or 147925812460 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 1331332312113 its reverse (3112132331331), we get a palindrome (4443464643444).

The spelling of 1331332312113 in words is "one trillion, three hundred thirty-one billion, three hundred thirty-two million, three hundred twelve thousand, one hundred thirteen".