1312133321331 has 12 divisors (see below), whose sum is σ = 2166061355952. Its totient is φ = 749790469296.

The previous prime is 1312133321309. The next prime is 1312133321333. The reversal of 1312133321331 is 1331233312131.

1312133321331 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 3 + 3 + 321 + 331 = 666.

It is not a de Polignac number, because 1312133321331 - 2¹⁷ = 1312133190259 is a prime.

It is a super-2 number, since 2×1312133321331² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1312133321295 and 1312133321304.

It is not an unprimeable number, because it can be changed into a prime (1312133321333) 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 11 ways as a sum of consecutive naturals, for example, 10413756456 + ... + 10413756581.

It is an arithmetic number, because the mean of its divisors is an integer number (180505112996).

Almost surely, 2^{1312133321331} is an apocalyptic number.

1312133321331 is a deficient number, since it is larger than the sum of its proper divisors (853928034621).

1312133321331 is a wasteful number, since it uses less digits than its factorization.

1312133321331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20827513050 (or 20827513047 counting only the distinct ones).

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

Adding to 1312133321331 its reverse (1331233312131), we get a palindrome (2643366633462).

The spelling of 1312133321331 in words is "one trillion, three hundred twelve billion, one hundred thirty-three million, three hundred twenty-one thousand, three hundred thirty-one".