13414141314 has 72 divisors (see below), whose sum is σ = 34528560768. Its totient is φ = 3751055280.

The previous prime is 13414141289. The next prime is 13414141337. The reversal of 13414141314 is 41314141431.

13414141314 is a `hidden beast` number, since 1 + 341 + 4 + 1 + 4 + 1 + 314 = 666.

13414141314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120342 + ... + 203249.

It is an arithmetic number, because the mean of its divisors is an integer number (479563344).

Almost surely, 2^13414141314 is an apocalyptic number.

13414141314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13414141314 is an abundant number, since it is smaller than the sum of its proper divisors (21114419454).

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

13414141314 is a wasteful number, since it uses less digits than its factorization.

13414141314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323660 (or 323650 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 13414141314 its reverse (41314141431), we get a palindrome (54728282745).

The spelling of 13414141314 in words is "thirteen billion, four hundred fourteen million, one hundred forty-one thousand, three hundred fourteen".