164124041232131 has 2 divisors, whose sum is σ = 164124041232132. Its totient is φ = 164124041232130.

The previous prime is 164124041232119. The next prime is 164124041232139. The reversal of 164124041232131 is 131232140421461.

It is a strong prime.

It is an emirp because it is prime and its reverse (131232140421461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164124041232131 - 2³⁴ = 164106861362947 is a prime.

It is a super-2 number, since 2×164124041232131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164124041232091 and 164124041232100.

It is not a weakly prime, because it can be changed into another prime (164124041232139) 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, 82062020616065 + 82062020616066.

It is an arithmetic number, because the mean of its divisors is an integer number (82062020616066).

Almost surely, 2^{164124041232131} is an apocalyptic number.

164124041232131 is a deficient number, since it is larger than the sum of its proper divisors (1).

164124041232131 is an equidigital number, since it uses as much as digits as its factorization.

164124041232131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 35.

Adding to 164124041232131 its reverse (131232140421461), we get a palindrome (295356181653592).

The spelling of 164124041232131 in words is "one hundred sixty-four trillion, one hundred twenty-four billion, forty-one million, two hundred thirty-two thousand, one hundred thirty-one".