131233200 has 240 divisors, whose sum is σ = 509253120. Its totient is φ = 28200960.

The previous prime is 131233189. The next prime is 131233211. The reversal of 131233200 is 2332131.

It is an interprime number because it is at equal distance from previous prime (131233189) and next prime (131233211).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131233200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142341 + ... + 143259.

It is an arithmetic number, because the mean of its divisors is an integer number (2121888).

Almost surely, 2^131233200 is an apocalyptic number.

131233200 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 131233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254626560).

131233200 is an abundant number, since it is smaller than the sum of its proper divisors (378019920).

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

131233200 is a wasteful number, since it uses less digits than its factorization.

131233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 131233200 is about 11455.7060018141. The cubic root of 131233200 is about 508.1764943599.

Adding to 131233200 its reverse (2332131), we get a palindrome (133565331).

The spelling of 131233200 in words is "one hundred thirty-one million, two hundred thirty-three thousand, two hundred".