41013135012121 has 2 divisors, whose sum is σ = 41013135012122. Its totient is φ = 41013135012120.

The previous prime is 41013135012029. The next prime is 41013135012131. The reversal of 41013135012121 is 12121053131014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24116398614025 + 16896736398096 = 4910845^2 + 4110564^2 .

It is a cyclic number.

It is not a de Polignac number, because 41013135012121 - 2²⁹ = 41012598141209 is a prime.

It is not a weakly prime, because it can be changed into another prime (41013135012131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20506567506060 + 20506567506061.

It is an arithmetic number, because the mean of its divisors is an integer number (20506567506061).

Almost surely, 2^{41013135012121} is an apocalyptic number.

It is an amenable number.

41013135012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

41013135012121 is an equidigital number, since it uses as much as digits as its factorization.

41013135012121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 41013135012121 its reverse (12121053131014), we get a palindrome (53134188143135).

The spelling of 41013135012121 in words is "forty-one trillion, thirteen billion, one hundred thirty-five million, twelve thousand, one hundred twenty-one".