131331600 has 135 divisors (see below), whose sum is σ = 458155789. Its totient is φ = 34838400.

The previous prime is 131331559. The next prime is 131331617. The reversal of 131331600 is 6133131.

The square root of 131331600 is 11460.

It is a perfect power (a square), and thus also a powerful number.

131331600 is a `hidden beast` number, since 1 + 31 + 3 + 31 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47279376 + 84052224 = 6876^2 + 9168^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 687505 + ... + 687695.

Almost surely, 2^131331600 is an apocalyptic number.

131331600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131331600 is the 11460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131331600

131331600 is an abundant number, since it is smaller than the sum of its proper divisors (326824189).

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

131331600 is a wasteful number, since it uses less digits than its factorization.

131331600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The cubic root of 131331600 is about 508.3034746116.

Adding to 131331600 its reverse (6133131), we get a palindrome (137464731).

The spelling of 131331600 in words is "one hundred thirty-one million, three hundred thirty-one thousand, six hundred".