131100200 has 96 divisors (see below), whose sum is σ = 380064960. Its totient is φ = 40857600.

The previous prime is 131100199. The next prime is 131100223. The reversal of 131100200 is 2001131.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 23 ways as a sum of consecutive naturals, for example, 11144 + ... + 19656.

It is an arithmetic number, because the mean of its divisors is an integer number (3959010).

Almost surely, 2^131100200 is an apocalyptic number.

131100200 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 131100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190032480).

131100200 is an abundant number, since it is smaller than the sum of its proper divisors (248964760).

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

131100200 is a wasteful number, since it uses less digits than its factorization.

131100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8547 (or 8538 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 131100200 is about 11449.8995628783. The cubic root of 131100200 is about 508.0047636315.

Adding to 131100200 its reverse (2001131), we get a palindrome (133101331).

The spelling of 131100200 in words is "one hundred thirty-one million, one hundred thousand, two hundred".