131214 has 16 divisors (see below), whose sum is σ = 276480. Its totient is φ = 41400.

The previous prime is 131213. The next prime is 131221. The reversal of 131214 is 412131.

It is a happy number.

It is a super-2 number, since 2×131214² = 34434227592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131214.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131214.

It is not an unprimeable number, because it can be changed into a prime (131213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462 + ... + 689.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2¹³¹²¹⁴ is an apocalyptic number.

131214 is an abundant number, since it is smaller than the sum of its proper divisors (145266).

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

131214 is a wasteful number, since it uses less digits than its factorization.

131214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175.

The product of its digits is 24, while the sum is 12.

The square root of 131214 is about 362.2347305270. The cubic root of 131214 is about 50.8151710325.

Adding to 131214 its reverse (412131), we get a palindrome (543345).

It can be divided in two parts, 1312 and 14, that added together give a triangular number (1326 = T₅₁).

The spelling of 131214 in words is "one hundred thirty-one thousand, two hundred fourteen".