131216800 has 288 divisors, whose sum is σ = 398974464. Its totient is φ = 41472000.

The previous prime is 131216797. The next prime is 131216803. The reversal of 131216800 is 8612131.

It is an interprime number because it is at equal distance from previous prime (131216797) and next prime (131216803).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131216803) by changing a digit.

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, 3546382 + ... + 3546418.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 2^131216800 is an apocalyptic number.

131216800 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 131216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199487232).

131216800 is an abundant number, since it is smaller than the sum of its proper divisors (267757664).

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

131216800 is a wasteful number, since it uses less digits than its factorization.

131216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 131216800 is about 11454.9901789569. The cubic root of 131216800 is about 508.1553248142.

Adding to 131216800 its reverse (8612131), we get a palindrome (139828931).

The spelling of 131216800 in words is "one hundred thirty-one million, two hundred sixteen thousand, eight hundred".