1312312131331 has 8 divisors (see below), whose sum is σ = 1325307232080. Its totient is φ = 1299379961472.

The previous prime is 1312312131329. The next prime is 1312312131371. The reversal of 1312312131331 is 1331312132131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1312312131331 - 2¹ = 1312312131329 is a prime.

It is a super-2 number, since 2×1312312131331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1312312131296 and 1312312131305.

It is not an unprimeable number, because it can be changed into a prime (1312312131371) 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 7 ways as a sum of consecutive naturals, for example, 15690810 + ... + 15774223.

It is an arithmetic number, because the mean of its divisors is an integer number (165663404010).

Almost surely, 2^{1312312131331} is an apocalyptic number.

1312312131331 is a deficient number, since it is larger than the sum of its proper divisors (12995100749).

1312312131331 is a wasteful number, since it uses less digits than its factorization.

1312312131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31465445.

The product of its digits is 972, while the sum is 25.

Adding to 1312312131331 its reverse (1331312132131), we get a palindrome (2643624263462).

The spelling of 1312312131331 in words is "one trillion, three hundred twelve billion, three hundred twelve million, one hundred thirty-one thousand, three hundred thirty-one".