13314314112 has 128 divisors (see below), whose sum is σ = 38657347200. Its totient is φ = 4026685440.

The previous prime is 13314314051. The next prime is 13314314171. The reversal of 13314314112 is 21141341331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2349939 + ... + 2355597.

It is an arithmetic number, because the mean of its divisors is an integer number (302010525).

Almost surely, 2^13314314112 is an apocalyptic number.

13314314112 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 13314314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19328673600).

13314314112 is an abundant number, since it is smaller than the sum of its proper divisors (25343033088).

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

13314314112 is a wasteful number, since it uses less digits than its factorization.

13314314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6244 (or 6232 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 13314314112 its reverse (21141341331), we get a palindrome (34455655443).

The spelling of 13314314112 in words is "thirteen billion, three hundred fourteen million, three hundred fourteen thousand, one hundred twelve".