41130100 has 72 divisors (see below), whose sum is σ = 98431200. Its totient is φ = 14793600.

The previous prime is 41130097. The next prime is 41130101. The reversal of 41130100 is 103114.

It is a happy number.

41130100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41130101) 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 23 ways as a sum of consecutive naturals, for example, 152766 + ... + 153034.

It is an arithmetic number, because the mean of its divisors is an integer number (1367100).

Almost surely, 2^41130100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49215600).

41130100 is an abundant number, since it is smaller than the sum of its proper divisors (57301100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41130100 is a wasteful number, since it uses less digits than its factorization.

41130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 426 counting only the distinct ones).

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

The square root of 41130100 is about 6413.2752942627. The cubic root of 41130100 is about 345.1860650050.

Adding to 41130100 its reverse (103114), we get a palindrome (41233214).

The spelling of 41130100 in words is "forty-one million, one hundred thirty thousand, one hundred".