131101311541441 has 2 divisors, whose sum is σ = 131101311541442. Its totient is φ = 131101311541440.

The previous prime is 131101311541423. The next prime is 131101311541537. The reversal of 131101311541441 is 144145113101131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129770737756416 + 1330573785025 = 11391696^2 + 1153505^2 .

It is a cyclic number.

It is not a de Polignac number, because 131101311541441 - 2⁷ = 131101311541313 is a prime.

It is not a weakly prime, because it can be changed into another prime (131101311641441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65550655770720 + 65550655770721.

It is an arithmetic number, because the mean of its divisors is an integer number (65550655770721).

Almost surely, 2^{131101311541441} is an apocalyptic number.

It is an amenable number.

131101311541441 is a deficient number, since it is larger than the sum of its proper divisors (1).

131101311541441 is an equidigital number, since it uses as much as digits as its factorization.

131101311541441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 31.

Adding to 131101311541441 its reverse (144145113101131), we get a palindrome (275246424642572).

The spelling of 131101311541441 in words is "one hundred thirty-one trillion, one hundred one billion, three hundred eleven million, five hundred forty-one thousand, four hundred forty-one".