41000113 has 48 divisors (see below), whose sum is σ = 55978560. Its totient is φ = 29635200.

The previous prime is 41000101. The next prime is 41000117. The reversal of 41000113 is 31100014.

It is a happy number.

41000113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41000113 - 2²¹ = 38902961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41000113.

It is not an unprimeable number, because it can be changed into a prime (41000117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672103 + ... + 672163.

It is an arithmetic number, because the mean of its divisors is an integer number (1166220).

Almost surely, 2^41000113 is an apocalyptic number.

41000113 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

41000113 is a deficient number, since it is larger than the sum of its proper divisors (14978447).

41000113 is a wasteful number, since it uses less digits than its factorization.

41000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 151 counting only the distinct ones).

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

The square root of 41000113 is about 6403.1330612443. The cubic root of 41000113 is about 344.8220408254.

Adding to 41000113 its reverse (31100014), we get a palindrome (72100127).

Subtracting from 41000113 its reverse (31100014), we obtain a palindrome (9900099).

It can be divided in two parts, 4100011 and 3, that added together give a palindrome (4100014).

The spelling of 41000113 in words is "forty-one million, one hundred thirteen", and thus it is an aban number.