131041000100 has 144 divisors (see below), whose sum is σ = 295546708800. Its totient is φ = 50399531520.

The previous prime is 131041000099. The next prime is 131041000109. The reversal of 131041000100 is 1000140131.

131041000100 is digitally balanced in base 3, 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 (131041000109) 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 47 ways as a sum of consecutive naturals, for example, 193560962 + ... + 193561638.

It is an arithmetic number, because the mean of its divisors is an integer number (2052407700).

Almost surely, 2^131041000100 is an apocalyptic number.

131041000100 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 131041000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147773354400).

131041000100 is an abundant number, since it is smaller than the sum of its proper divisors (164505708700).

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

131041000100 is a wasteful number, since it uses less digits than its factorization.

131041000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 131041000100 its reverse (1000140131), we get a palindrome (132041140231).

The spelling of 131041000100 in words is "one hundred thirty-one billion, forty-one million, one hundred", and thus it is an aban number.