13314132 has 120 divisors (see below), whose sum is σ = 39131400. Its totient is φ = 3919104.

The previous prime is 13314131. The next prime is 13314139. The reversal of 13314132 is 23141331.

It can be written as a sum of positive squares in 4 ways, for example, as 1245456 + 12068676 = 1116^2 + 3474^2 .

It is a super-2 number, since 2×13314132² = 354532221826848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13314131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122094 + ... + 122202.

It is an arithmetic number, because the mean of its divisors is an integer number (326095).

Almost surely, 2^13314132 is an apocalyptic number.

13314132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13314132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19565700).

13314132 is an abundant number, since it is smaller than the sum of its proper divisors (25817268).

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

13314132 is a wasteful number, since it uses less digits than its factorization.

13314132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 156 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13314132 is about 3648.8535185726. The cubic root of 13314132 is about 237.0123371242.

Adding to 13314132 its reverse (23141331), we get a palindrome (36455463).

It can be divided in two parts, 1 and 3314132, that added together give a palindrome (3314133).

The spelling of 13314132 in words is "thirteen million, three hundred fourteen thousand, one hundred thirty-two".