131043200 has 96 divisors (see below), whose sum is σ = 334413120. Its totient is φ = 50688000.

The previous prime is 131043197. The next prime is 131043203. The reversal of 131043200 is 2340131.

It is an interprime number because it is at equal distance from previous prime (131043197) and next prime (131043203).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131043203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98540 + ... + 99860.

It is an arithmetic number, because the mean of its divisors is an integer number (3483470).

Almost surely, 2^131043200 is an apocalyptic number.

131043200 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 131043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167206560).

131043200 is an abundant number, since it is smaller than the sum of its proper divisors (203369920).

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

131043200 is a wasteful number, since it uses less digits than its factorization.

131043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1359 counting only the distinct ones).

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

The square root of 131043200 is about 11447.4101874616. The cubic root of 131043200 is about 507.9311291924.

Adding to 131043200 its reverse (2340131), we get a palindrome (133383331).

The spelling of 131043200 in words is "one hundred thirty-one million, forty-three thousand, two hundred".