131333000100 has 36 divisors (see below), whose sum is σ = 379990147824. Its totient is φ = 35022133280.

The previous prime is 131333000093. The next prime is 131333000137. The reversal of 131333000100 is 1000333131.

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 131333000100.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 218888034 + ... + 218888633.

It is an arithmetic number, because the mean of its divisors is an integer number (10555281884).

Almost surely, 2^131333000100 is an apocalyptic number.

131333000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131333000100 is an abundant number, since it is smaller than the sum of its proper divisors (248657147724).

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

131333000100 is a wasteful number, since it uses less digits than its factorization.

131333000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437776684 (or 437776677 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 131333000100 its reverse (1000333131), we get a palindrome (132333333231).

The spelling of 131333000100 in words is "one hundred thirty-one billion, three hundred thirty-three million, one hundred", and thus it is an aban number.