131331200 has 384 divisors, whose sum is σ = 446221440. Its totient is φ = 36864000.

The previous prime is 131331181. The next prime is 131331203. The reversal of 131331200 is 2133131.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (131331203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3203180 + ... + 3203220.

It is an arithmetic number, because the mean of its divisors is an integer number (1162035).

Almost surely, 2^131331200 is an apocalyptic number.

131331200 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 131331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223110720).

131331200 is an abundant number, since it is smaller than the sum of its proper divisors (314890240).

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

131331200 is a wasteful number, since it uses less digits than its factorization.

131331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 131331200 is about 11459.9825479797. The cubic root of 131331200 is about 508.3029585601.

Adding to 131331200 its reverse (2133131), we get a palindrome (133464331).

It can be divided in two parts, 13 and 1331200, that multiplied together give a square (17305600 = 4160²).

The spelling of 131331200 in words is "one hundred thirty-one million, three hundred thirty-one thousand, two hundred".