10131441100 has 72 divisors (see below), whose sum is σ = 24000807600. Its totient is φ = 3681561600.

The previous prime is 10131441071. The next prime is 10131441107. The reversal of 10131441100 is 114413101.

10131441100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10131441107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2295696 + ... + 2300104.

It is an arithmetic number, because the mean of its divisors is an integer number (333344550).

Almost surely, 2^10131441100 is an apocalyptic number.

10131441100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12000403800).

10131441100 is an abundant number, since it is smaller than the sum of its proper divisors (13869366500).

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

10131441100 is a wasteful number, since it uses less digits than its factorization.

10131441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6516 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10131441100 its reverse (114413101), we get a palindrome (10245854201).

The spelling of 10131441100 in words is "ten billion, one hundred thirty-one million, four hundred forty-one thousand, one hundred".