41133044314129 has 2 divisors, whose sum is σ = 41133044314130. Its totient is φ = 41133044314128.

The previous prime is 41133044314079. The next prime is 41133044314133. The reversal of 41133044314129 is 92141344033114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40965376176400 + 167668137729 = 6400420^2 + 409473^2 .

It is a cyclic number.

It is not a de Polignac number, because 41133044314129 - 2²⁵ = 41133010759697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41133044314091 and 41133044314100.

It is not a weakly prime, because it can be changed into another prime (41133054314129) 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, 20566522157064 + 20566522157065.

It is an arithmetic number, because the mean of its divisors is an integer number (20566522157065).

Almost surely, 2^{41133044314129} is an apocalyptic number.

It is an amenable number.

41133044314129 is a deficient number, since it is larger than the sum of its proper divisors (1).

41133044314129 is an equidigital number, since it uses as much as digits as its factorization.

41133044314129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 41133044314129 in words is "forty-one trillion, one hundred thirty-three billion, forty-four million, three hundred fourteen thousand, one hundred twenty-nine".