131010411413377 has 2 divisors, whose sum is σ = 131010411413378. Its totient is φ = 131010411413376.

The previous prime is 131010411413353. The next prime is 131010411413591. The reversal of 131010411413377 is 773314114010131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120454663833856 + 10555747579521 = 10975184^2 + 3248961^2 .

It is a cyclic number.

It is not a de Polignac number, because 131010411413377 - 2¹⁹ = 131010410889089 is a prime.

It is not a weakly prime, because it can be changed into another prime (131010411413347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65505205706688 + 65505205706689.

It is an arithmetic number, because the mean of its divisors is an integer number (65505205706689).

Almost surely, 2^{131010411413377} is an apocalyptic number.

It is an amenable number.

131010411413377 is a deficient number, since it is larger than the sum of its proper divisors (1).

131010411413377 is an equidigital number, since it uses as much as digits as its factorization.

131010411413377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 131010411413377 in words is "one hundred thirty-one trillion, ten billion, four hundred eleven million, four hundred thirteen thousand, three hundred seventy-seven".