13112413314 has 128 divisors (see below), whose sum is σ = 35360962560. Its totient is φ = 3130444800.

The previous prime is 13112413277. The next prime is 13112413337. The reversal of 13112413314 is 41331421131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1442917 + ... + 1451975.

It is an arithmetic number, because the mean of its divisors is an integer number (276257520).

Almost surely, 2^13112413314 is an apocalyptic number.

13112413314 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 13112413314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17680481280).

13112413314 is an abundant number, since it is smaller than the sum of its proper divisors (22248549246).

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

13112413314 is a wasteful number, since it uses less digits than its factorization.

13112413314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9336.

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

Adding to 13112413314 its reverse (41331421131), we get a palindrome (54443834445).

It can be divided in two parts, 13112 and 413314, that added together give a triangular number (426426 = T₉₂₃).

The spelling of 13112413314 in words is "thirteen billion, one hundred twelve million, four hundred thirteen thousand, three hundred fourteen".