1331113142133 has 12 divisors (see below), whose sum is σ = 1989019638060. Its totient is φ = 856808459136.

The previous prime is 1331113142119. The next prime is 1331113142137. The reversal of 1331113142133 is 3312413111331.

1331113142133 is a `hidden beast` number, since 1 + 3 + 311 + 1 + 314 + 2 + 1 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1112723290449 + 218389851684 = 1054857^2 + 467322^2 .

It is not a de Polignac number, because 1331113142133 - 2⁸ = 1331113141877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1331113142097 and 1331113142106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331113142137) 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 11 ways as a sum of consecutive naturals, for example, 2550024916 + ... + 2550025437.

It is an arithmetic number, because the mean of its divisors is an integer number (165751636505).

Almost surely, 2^{1331113142133} is an apocalyptic number.

It is an amenable number.

1331113142133 is a deficient number, since it is larger than the sum of its proper divisors (657906495927).

1331113142133 is a wasteful number, since it uses less digits than its factorization.

1331113142133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100050388 (or 5100050385 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 1331113142133 its reverse (3312413111331), we get a palindrome (4643526253464).

The spelling of 1331113142133 in words is "one trillion, three hundred thirty-one billion, one hundred thirteen million, one hundred forty-two thousand, one hundred thirty-three".