16131312 has 80 divisors (see below), whose sum is σ = 46976160. Its totient is φ = 5365440.

The previous prime is 16131307. The next prime is 16131319. The reversal of 16131312 is 21313161.

16131312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16131319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34762 + ... + 35222.

It is an arithmetic number, because the mean of its divisors is an integer number (587202).

Almost surely, 2^16131312 is an apocalyptic number.

16131312 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 16131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23488080).

16131312 is an abundant number, since it is smaller than the sum of its proper divisors (30844848).

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

16131312 is an frugal number, since it uses more digits than its factorization.

16131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 466 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 16131312 is about 4016.3804600660. The cubic root of 16131312 is about 252.6716775167.

Adding to 16131312 its reverse (21313161), we get a palindrome (37444473).

It can be divided in two parts, 16 and 131312, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 16131312 in words is "sixteen million, one hundred thirty-one thousand, three hundred twelve".