131041135182401 has 8 divisors (see below), whose sum is σ = 138749784938280. Its totient is φ = 123332524058368.

The previous prime is 131041135182389. The next prime is 131041135182409. The reversal of 131041135182401 is 104281531140131.

It is a Cunningham number, because it is equal to 11447320²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 93085370501776 + 37955764680625 = 9648076^2 + 6160825^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131041135182401 - 2⁶ = 131041135182337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131041135182409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2523746 + ... + 16384491.

It is an arithmetic number, because the mean of its divisors is an integer number (17343723117285).

Almost surely, 2^{131041135182401} is an apocalyptic number.

It is an amenable number.

131041135182401 is a deficient number, since it is larger than the sum of its proper divisors (7708649755879).

131041135182401 is a wasteful number, since it uses less digits than its factorization.

131041135182401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19315923.

The product of its (nonzero) digits is 11520, while the sum is 35.

The spelling of 131041135182401 in words is "one hundred thirty-one trillion, forty-one billion, one hundred thirty-five million, one hundred eighty-two thousand, four hundred one".