131003634189641 has 2 divisors, whose sum is σ = 131003634189642. Its totient is φ = 131003634189640.

The previous prime is 131003634189629. The next prime is 131003634189661. The reversal of 131003634189641 is 146981436300131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129113132937616 + 1890501252025 = 11362796^2 + 1374955^2 .

It is a cyclic number.

It is not a de Polignac number, because 131003634189641 - 2⁶ = 131003634189577 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131003634189641.

It is not a weakly prime, because it can be changed into another prime (131003634189661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65501817094820 + 65501817094821.

It is an arithmetic number, because the mean of its divisors is an integer number (65501817094821).

Almost surely, 2^{131003634189641} is an apocalyptic number.

It is an amenable number.

131003634189641 is a deficient number, since it is larger than the sum of its proper divisors (1).

131003634189641 is an equidigital number, since it uses as much as digits as its factorization.

131003634189641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1119744, while the sum is 50.

The spelling of 131003634189641 in words is "one hundred thirty-one trillion, three billion, six hundred thirty-four million, one hundred eighty-nine thousand, six hundred forty-one".