131083200 has 126 divisors (see below), whose sum is σ = 465951824. Its totient is φ = 34951680.

The previous prime is 131083157. The next prime is 131083201. The reversal of 131083200 is 2380131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131083201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9849 + ... + 18951.

Almost surely, 2^131083200 is an apocalyptic number.

131083200 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 131083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232975912).

131083200 is an abundant number, since it is smaller than the sum of its proper divisors (334868624).

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

131083200 is a wasteful number, since it uses less digits than its factorization.

131083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9131 (or 9113 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131083200 is about 11449.1571742203. The cubic root of 131083200 is about 507.9828047169.

The spelling of 131083200 in words is "one hundred thirty-one million, eighty-three thousand, two hundred".