131214114 has 96 divisors (see below), whose sum is σ = 316016640. Its totient is φ = 40334112.

The previous prime is 131214101. The next prime is 131214157. The reversal of 131214114 is 411412131.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1033119 + ... + 1033245.

It is an arithmetic number, because the mean of its divisors is an integer number (3291840).

Almost surely, 2^131214114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131214114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158008320).

131214114 is an abundant number, since it is smaller than the sum of its proper divisors (184802526).

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

131214114 is a wasteful number, since it uses less digits than its factorization.

131214114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 204 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 131214114 is about 11454.8729368771. The cubic root of 131214114 is about 508.1518574875.

Adding to 131214114 its reverse (411412131), we get a palindrome (542626245).

It can be divided in two parts, 131214 and 114, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 131214114 in words is "one hundred thirty-one million, two hundred fourteen thousand, one hundred fourteen".