41330201312129 has 2 divisors, whose sum is σ = 41330201312130. Its totient is φ = 41330201312128.

The previous prime is 41330201312093. The next prime is 41330201312131. The reversal of 41330201312129 is 92121310203314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41304375215104 + 25826097025 = 6426848^2 + 160705^2 .

It is a cyclic number.

It is not a de Polignac number, because 41330201312129 - 2²⁰ = 41330200263553 is a prime.

It is a super-2 number, since 2×41330201312129² (a number of 28 digits) contains 22 as substring.

Together with 41330201312131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 41330201312095 and 41330201312104.

It is not a weakly prime, because it can be changed into another prime (41330201312159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20665100656064 + 20665100656065.

It is an arithmetic number, because the mean of its divisors is an integer number (20665100656065).

Almost surely, 2^{41330201312129} is an apocalyptic number.

It is an amenable number.

41330201312129 is a deficient number, since it is larger than the sum of its proper divisors (1).

41330201312129 is an equidigital number, since it uses as much as digits as its factorization.

41330201312129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 41330201312129 in words is "forty-one trillion, three hundred thirty billion, two hundred one million, three hundred twelve thousand, one hundred twenty-nine".