131300100 has 108 divisors (see below), whose sum is σ = 429514176. Its totient is φ = 33485760.

The previous prime is 131300083. The next prime is 131300111. The reversal of 131300100 is 1003131.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17529 + ... + 23871.

Almost surely, 2^131300100 is an apocalyptic number.

131300100 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 131300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214757088).

131300100 is an abundant number, since it is smaller than the sum of its proper divisors (298214076).

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

131300100 is a wasteful number, since it uses less digits than its factorization.

131300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 131300100 is about 11458.6255720309. The cubic root of 131300100 is about 508.2628323499.

Adding to 131300100 its reverse (1003131), we get a palindrome (132303231).

The spelling of 131300100 in words is "one hundred thirty-one million, three hundred thousand, one hundred".