131011431202133 has 2 divisors, whose sum is σ = 131011431202134. Its totient is φ = 131011431202132.

The previous prime is 131011431202111. The next prime is 131011431202153. The reversal of 131011431202133 is 331202134110131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110843984893009 + 20167446309124 = 10528247^2 + 4490818^2 .

It is a cyclic number.

It is not a de Polignac number, because 131011431202133 - 2¹⁴ = 131011431185749 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131011431202103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65505715601066 + 65505715601067.

It is an arithmetic number, because the mean of its divisors is an integer number (65505715601067).

Almost surely, 2^{131011431202133} is an apocalyptic number.

It is an amenable number.

131011431202133 is a deficient number, since it is larger than the sum of its proper divisors (1).

131011431202133 is an equidigital number, since it uses as much as digits as its factorization.

131011431202133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 131011431202133 its reverse (331202134110131), we get a palindrome (462213565312264).

The spelling of 131011431202133 in words is "one hundred thirty-one trillion, eleven billion, four hundred thirty-one million, two hundred two thousand, one hundred thirty-three".