131824164107 has 2 divisors, whose sum is σ = 131824164108. Its totient is φ = 131824164106.

The previous prime is 131824164077. The next prime is 131824164113. The reversal of 131824164107 is 701461428131.

It is a strong prime.

It is an emirp because it is prime and its reverse (701461428131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131824164107 - 2⁸ = 131824163851 is a prime.

It is a super-2 number, since 2×131824164107² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131824164007) 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 as a sum of consecutive naturals, namely, 65912082053 + 65912082054.

It is an arithmetic number, because the mean of its divisors is an integer number (65912082054).

Almost surely, 2^131824164107 is an apocalyptic number.

131824164107 is a deficient number, since it is larger than the sum of its proper divisors (1).

131824164107 is an equidigital number, since it uses as much as digits as its factorization.

131824164107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 131824164107 in words is "one hundred thirty-one billion, eight hundred twenty-four million, one hundred sixty-four thousand, one hundred seven".