13331341314 has 64 divisors (see below), whose sum is σ = 30620400000. Its totient is φ = 4296037824.

The previous prime is 13331341313. The next prime is 13331341321. The reversal of 13331341314 is 41314313331.

13331341314 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 1 + 341 + 314 = 666.

It is a super-2 number, since 2×13331341314² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13331341313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292437 + ... + 334935.

It is an arithmetic number, because the mean of its divisors is an integer number (478443750).

Almost surely, 2^13331341314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331341314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15310200000).

13331341314 is an abundant number, since it is smaller than the sum of its proper divisors (17289058686).

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

13331341314 is a wasteful number, since it uses less digits than its factorization.

13331341314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42704 (or 42698 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 13331341314 its reverse (41314313331), we get a palindrome (54645654645).

The spelling of 13331341314 in words is "thirteen billion, three hundred thirty-one million, three hundred forty-one thousand, three hundred fourteen".