131012133011327 has 2 divisors, whose sum is σ = 131012133011328. Its totient is φ = 131012133011326.

The previous prime is 131012133011213. The next prime is 131012133011399. The reversal of 131012133011327 is 723110331210131.

It is a strong prime.

It is an emirp because it is prime and its reverse (723110331210131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131012133011327 - 2²⁸ = 131011864575871 is a prime.

It is a super-2 number, since 2×131012133011327² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131012133011327.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131012133013327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65506066505663 + 65506066505664.

It is an arithmetic number, because the mean of its divisors is an integer number (65506066505664).

Almost surely, 2^{131012133011327} is an apocalyptic number.

131012133011327 is a deficient number, since it is larger than the sum of its proper divisors (1).

131012133011327 is an equidigital number, since it uses as much as digits as its factorization.

131012133011327 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 29.

Adding to 131012133011327 its reverse (723110331210131), we get a palindrome (854122464221458).

The spelling of 131012133011327 in words is "one hundred thirty-one trillion, twelve billion, one hundred thirty-three million, eleven thousand, three hundred twenty-seven".