41130032100 has 108 divisors (see below), whose sum is σ = 120178776816. Its totient is φ = 10860682560.

The previous prime is 41130032063. The next prime is 41130032107. The reversal of 41130032100 is 123003114.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41130032100.

It is not an unprimeable number, because it can be changed into a prime (41130032107) 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 in 35 ways as a sum of consecutive naturals, for example, 3176239 + ... + 3189161.

It is an arithmetic number, because the mean of its divisors is an integer number (1112766452).

Almost surely, 2^41130032100 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 41130032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60089388408).

41130032100 is an abundant number, since it is smaller than the sum of its proper divisors (79048744716).

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

41130032100 is a wasteful number, since it uses less digits than its factorization.

41130032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13146 (or 13036 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 41130032100 its reverse (123003114), we get a palindrome (41253035214).

The spelling of 41130032100 in words is "forty-one billion, one hundred thirty million, thirty-two thousand, one hundred".