131404313302181 has 2 divisors, whose sum is σ = 131404313302182. Its totient is φ = 131404313302180.

The previous prime is 131404313302159. The next prime is 131404313302261. The reversal of 131404313302181 is 181203313404131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131148647560225 + 255665741956 = 11452015^2 + 505634^2 .

It is an emirp because it is prime and its reverse (181203313404131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131404313302181 - 2⁶ = 131404313302117 is a prime.

It is a super-2 number, since 2×131404313302181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131404313302121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65702156651090 + 65702156651091.

It is an arithmetic number, because the mean of its divisors is an integer number (65702156651091).

Almost surely, 2^{131404313302181} is an apocalyptic number.

It is an amenable number.

131404313302181 is a deficient number, since it is larger than the sum of its proper divisors (1).

131404313302181 is an equidigital number, since it uses as much as digits as its factorization.

131404313302181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 131404313302181 in words is "one hundred thirty-one trillion, four hundred four billion, three hundred thirteen million, three hundred two thousand, one hundred eighty-one".