131132312100 has 144 divisors (see below), whose sum is σ = 422600382400. Its totient is φ = 34882824960.

The previous prime is 131132312081. The next prime is 131132312117. The reversal of 131132312100 is 1213231131.

131132312100 is a `hidden beast` number, since 1 + 311 + 32 + 312 + 10 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1044927 + ... + 1163673.

Almost surely, 2^131132312100 is an apocalyptic number.

131132312100 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 131132312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211300191200).

131132312100 is an abundant number, since it is smaller than the sum of its proper divisors (291468070300).

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

131132312100 is a wasteful number, since it uses less digits than its factorization.

131132312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119179 (or 119166 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131132312100 its reverse (1213231131), we get a palindrome (132345543231).

The spelling of 131132312100 in words is "one hundred thirty-one billion, one hundred thirty-two million, three hundred twelve thousand, one hundred".