131314134 has 64 divisors (see below), whose sum is σ = 307077120. Its totient is φ = 36663840.

The previous prime is 131314133. The next prime is 131314163. The reversal of 131314134 is 431413131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 131314134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131314133) 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 31 ways as a sum of consecutive naturals, for example, 484419 + ... + 484689.

It is an arithmetic number, because the mean of its divisors is an integer number (4798080).

Almost surely, 2^131314134 is an apocalyptic number.

131314134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131314134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153538560).

131314134 is an abundant number, since it is smaller than the sum of its proper divisors (175762986).

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

131314134 is a wasteful number, since it uses less digits than its factorization.

131314134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505.

The product of its digits is 432, while the sum is 21.

The square root of 131314134 is about 11459.2379327772. The cubic root of 131314134 is about 508.2809402479.

Adding to 131314134 its reverse (431413131), we get a palindrome (562727265).

The spelling of 131314134 in words is "one hundred thirty-one million, three hundred fourteen thousand, one hundred thirty-four".