41100013 has 2 divisors, whose sum is σ = 41100014. Its totient is φ = 41100012.

The previous prime is 41099923. The next prime is 41100019. The reversal of 41100013 is 31000114.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36024004 + 5076009 = 6002^2 + 2253^2 .

It is a cyclic number.

It is not a de Polignac number, because 41100013 - 2²⁵ = 7545581 is a prime.

It is a super-2 number, since 2×41100013² = 3378422137200338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41100019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20550006 + 20550007.

It is an arithmetic number, because the mean of its divisors is an integer number (20550007).

Almost surely, 2^41100013 is an apocalyptic number.

It is an amenable number.

41100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

41100013 is an equidigital number, since it uses as much as digits as its factorization.

41100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 41100013 is about 6410.9291838235. The cubic root of 41100013 is about 345.1018756761.

Adding to 41100013 its reverse (31000114), we get a palindrome (72100127).

The spelling of 41100013 in words is "forty-one million, one hundred thousand, thirteen".