131380000 has 60 divisors (see below), whose sum is σ = 323263710. Its totient is φ = 52544000.

The previous prime is 131379977. The next prime is 131380009. The reversal of 131380000 is 83131.

It can be written as a sum of positive squares in 5 ways, for example, as 14653584 + 116726416 = 3828^2 + 10804^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (131380009) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 16716 + ... + 23284.

Almost surely, 2^131380000 is an apocalyptic number.

131380000 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 131380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161631855).

131380000 is an abundant number, since it is smaller than the sum of its proper divisors (191883710).

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

131380000 is an frugal number, since it uses more digits than its factorization.

131380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6599 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 131380000 is about 11462.1114983235. Note that the first 3 decimals coincide. The cubic root of 131380000 is about 508.3659091071.

The spelling of 131380000 in words is "one hundred thirty-one million, three hundred eighty thousand".