131011410000181 has 2 divisors, whose sum is σ = 131011410000182. Its totient is φ = 131011410000180.

The previous prime is 131011410000131. The next prime is 131011410000203. The reversal of 131011410000181 is 181000014110131.

It is an a-pointer prime, because the next prime (131011410000203) can be obtained adding 131011410000181 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81597961519281 + 49413448480900 = 9033159^2 + 7029470^2 .

It is a cyclic number.

It is not a de Polignac number, because 131011410000181 - 2²¹ = 131011407903029 is a prime.

It is a super-2 number, since 2×131011410000181² (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 (131011410000131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65505705000090 + 65505705000091.

It is an arithmetic number, because the mean of its divisors is an integer number (65505705000091).

Almost surely, 2^{131011410000181} is an apocalyptic number.

It is an amenable number.

131011410000181 is a deficient number, since it is larger than the sum of its proper divisors (1).

131011410000181 is an equidigital number, since it uses as much as digits as its factorization.

131011410000181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 22.

The spelling of 131011410000181 in words is "one hundred thirty-one trillion, eleven billion, four hundred ten million, one hundred eighty-one", and thus it is an aban number.