131091300 has 108 divisors (see below), whose sum is σ = 414856260. Its totient is φ = 34621440.

The previous prime is 131091271. The next prime is 131091349. The reversal of 131091300 is 3190131.

It can be written as a sum of positive squares in 6 ways, for example, as 11451456 + 119639844 = 3384^2 + 10938^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 101056 + ... + 102344.

Almost surely, 2^131091300 is an apocalyptic number.

131091300 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 131091300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207428130).

131091300 is an abundant number, since it is smaller than the sum of its proper divisors (283764960).

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

131091300 is a wasteful number, since it uses less digits than its factorization.

131091300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 131091300 is about 11449.5109065846. The cubic root of 131091300 is about 507.9932677306.

The spelling of 131091300 in words is "one hundred thirty-one million, ninety-one thousand, three hundred".