131223200 has 72 divisors (see below), whose sum is σ = 325721340. Its totient is φ = 51609600.

The previous prime is 131223193. The next prime is 131223227. The reversal of 131223200 is 2322131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 258064 + 130965136 = 508^2 + 11444^2 .

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 11 ways as a sum of consecutive naturals, for example, 47456 + ... + 50144.

Almost surely, 2^131223200 is an apocalyptic number.

131223200 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 131223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162860670).

131223200 is an abundant number, since it is smaller than the sum of its proper divisors (194498140).

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

131223200 is a wasteful number, since it uses less digits than its factorization.

131223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 131223200 is about 11455.2695297841. The cubic root of 131223200 is about 508.1635863102.

Adding to 131223200 its reverse (2322131), we get a palindrome (133545331).

It can be divided in two parts, 13122 and 3200, that multiplied together give a square (41990400 = 6480²).

The spelling of 131223200 in words is "one hundred thirty-one million, two hundred twenty-three thousand, two hundred".