131031200 has 36 divisors (see below), whose sum is σ = 319881870. Its totient is φ = 52412160.

The previous prime is 131031181. The next prime is 131031209. The reversal of 131031200 is 2130131.

It can be written as a sum of positive squares in 3 ways, for example, as 70627216 + 60403984 = 8404^2 + 7772^2 .

It is not an unprimeable number, because it can be changed into a prime (131031209) 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 5 ways as a sum of consecutive naturals, for example, 81095 + ... + 82694.

Almost surely, 2^131031200 is an apocalyptic number.

131031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131031200 is an abundant number, since it is smaller than the sum of its proper divisors (188850670).

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

131031200 is a wasteful number, since it uses less digits than its factorization.

131031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163809 (or 163796 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 131031200 is about 11446.8860394432. The cubic root of 131031200 is about 507.9156244845.

Adding to 131031200 its reverse (2130131), we get a palindrome (133161331).

The spelling of 131031200 in words is "one hundred thirty-one million, thirty-one thousand, two hundred".