131332223133121 has 2 divisors, whose sum is σ = 131332223133122. Its totient is φ = 131332223133120.

The previous prime is 131332223133119. The next prime is 131332223133191. The reversal of 131332223133121 is 121331322233131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127754734602496 + 3577488530625 = 11302864^2 + 1891425^2 .

It is a cyclic number.

It is not a de Polignac number, because 131332223133121 - 2¹ = 131332223133119 is a prime.

Together with 131332223133119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (131332223133191) 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 as a sum of consecutive naturals, namely, 65666111566560 + 65666111566561.

It is an arithmetic number, because the mean of its divisors is an integer number (65666111566561).

Almost surely, 2^{131332223133121} is an apocalyptic number.

It is an amenable number.

131332223133121 is a deficient number, since it is larger than the sum of its proper divisors (1).

131332223133121 is an equidigital number, since it uses as much as digits as its factorization.

131332223133121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 31.

Adding to 131332223133121 its reverse (121331322233131), we get a palindrome (252663545366252).

The spelling of 131332223133121 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, two hundred twenty-three million, one hundred thirty-three thousand, one hundred twenty-one".