131200314 has 32 divisors (see below), whose sum is σ = 301019136. Its totient is φ = 37344240.

The previous prime is 131200291. The next prime is 131200319. The reversal of 131200314 is 413002131.

It is a junction number, because it is equal to n+sod(n) for n = 131200293 and 131200302.

It is not an unprimeable number, because it can be changed into a prime (131200319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5619 + ... + 17145.

It is an arithmetic number, because the mean of its divisors is an integer number (9406848).

Almost surely, 2^131200314 is an apocalyptic number.

131200314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131200314 is an abundant number, since it is smaller than the sum of its proper divisors (169818822).

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

131200314 is a wasteful number, since it uses less digits than its factorization.

131200314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11810.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131200314 is about 11454.2705573074. The cubic root of 131200314 is about 508.1340424795.

Adding to 131200314 its reverse (413002131), we get a palindrome (544202445).

The spelling of 131200314 in words is "one hundred thirty-one million, two hundred thousand, three hundred fourteen".