131313331332121 has 2 divisors, whose sum is σ = 131313331332122. Its totient is φ = 131313331332120.

The previous prime is 131313331332097. The next prime is 131313331332133. The reversal of 131313331332121 is 121233133313131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128764394553600 + 2548936778521 = 11347440^2 + 1596539^2 .

It is a cyclic number.

It is not a de Polignac number, because 131313331332121 - 2¹¹ = 131313331330073 is a prime.

It is not a weakly prime, because it can be changed into another prime (131313331372121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65656665666060 + 65656665666061.

It is an arithmetic number, because the mean of its divisors is an integer number (65656665666061).

Almost surely, 2^{131313331332121} is an apocalyptic number.

It is an amenable number.

131313331332121 is a deficient number, since it is larger than the sum of its proper divisors (1).

131313331332121 is an equidigital number, since it uses as much as digits as its factorization.

131313331332121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8748, while the sum is 31.

Adding to 131313331332121 its reverse (121233133313131), we get a palindrome (252546464645252).

The spelling of 131313331332121 in words is "one hundred thirty-one trillion, three hundred thirteen billion, three hundred thirty-one million, three hundred thirty-two thousand, one hundred twenty-one".