131141112109001 has 2 divisors, whose sum is σ = 131141112109002. Its totient is φ = 131141112109000.

The previous prime is 131141112108989. The next prime is 131141112109027. The reversal of 131141112109001 is 100901211141131.

It is an a-pointer prime, because the next prime (131141112109027) can be obtained adding 131141112109001 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121585378283776 + 9555733825225 = 11026576^2 + 3091235^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131141112109001 is a prime.

It is not a weakly prime, because it can be changed into another prime (131141112109901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65570556054500 + 65570556054501.

It is an arithmetic number, because the mean of its divisors is an integer number (65570556054501).

Almost surely, 2^{131141112109001} is an apocalyptic number.

It is an amenable number.

131141112109001 is a deficient number, since it is larger than the sum of its proper divisors (1).

131141112109001 is an equidigital number, since it uses as much as digits as its factorization.

131141112109001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 26.

The spelling of 131141112109001 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred twelve million, one hundred nine thousand, one".