131141324033101 has 2 divisors, whose sum is σ = 131141324033102. Its totient is φ = 131141324033100.

The previous prime is 131141324033087. The next prime is 131141324033113. The reversal of 131141324033101 is 101330423141131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102305659119876 + 28835664913225 = 10114626^2 + 5369885^2 .

It is a cyclic number.

It is not a de Polignac number, because 131141324033101 - 2¹⁹ = 131141323508813 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131141324033101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131141324013101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65570662016550 + 65570662016551.

It is an arithmetic number, because the mean of its divisors is an integer number (65570662016551).

Almost surely, 2^{131141324033101} is an apocalyptic number.

It is an amenable number.

131141324033101 is a deficient number, since it is larger than the sum of its proper divisors (1).

131141324033101 is an equidigital number, since it uses as much as digits as its factorization.

131141324033101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 131141324033101 its reverse (101330423141131), we get a palindrome (232471747174232).

The spelling of 131141324033101 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, thirty-three thousand, one hundred one".