131418 has 36 divisors (see below), whose sum is σ = 333450. Its totient is φ = 37296.

The previous prime is 131413. The next prime is 131431. The reversal of 131418 is 814131.

It can be written as a sum of positive squares in only one way, i.e., 127449 + 3969 = 357^2 + 63^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 131418.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131418.

It is not an unprimeable number, because it can be changed into a prime (131413) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 808 + ... + 956.

2¹³¹⁴¹⁸ is an apocalyptic number.

131418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166725).

131418 is an abundant number, since it is smaller than the sum of its proper divisors (202032).

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

131418 is a wasteful number, since it uses less digits than its factorization.

131418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

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

The square root of 131418 is about 362.5162065343. The cubic root of 131418 is about 50.8414917181.

Adding to 131418 its reverse (814131), we get a palindrome (945549).

It can be divided in two parts, 13 and 1418, that added together give a triangular number (1431 = T₅₃).

The spelling of 131418 in words is "one hundred thirty-one thousand, four hundred eighteen".