41134310100 has 432 divisors, whose sum is σ = 149085426672. Its totient is φ = 9395896320.

The previous prime is 41134310093. The next prime is 41134310131. The reversal of 41134310100 is 101343114.

41134310100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 28942175376 + 12192134724 = 170124^2 + 110418^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14518284 + ... + 14521116.

Almost surely, 2^41134310100 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 41134310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74542713336).

41134310100 is an abundant number, since it is smaller than the sum of its proper divisors (107951116572).

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

41134310100 is a wasteful number, since it uses less digits than its factorization.

41134310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 41134310100 its reverse (101343114), we get a palindrome (41235653214).

The spelling of 41134310100 in words is "forty-one billion, one hundred thirty-four million, three hundred ten thousand, one hundred".