13771377306 has 48 divisors (see below), whose sum is σ = 31654165608. Its totient is φ = 4312089600.

The previous prime is 13771377281. The next prime is 13771377311. The reversal of 13771377306 is 60377317731.

13771377306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11665944081 + 2105433225 = 108009^2 + 45885^2 .

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 23 ways as a sum of consecutive naturals, for example, 116236 + ... + 202616.

Almost surely, 2^13771377306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13771377306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15827082804).

13771377306 is an abundant number, since it is smaller than the sum of its proper divisors (17882788302).

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

13771377306 is a wasteful number, since it uses less digits than its factorization.

13771377306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86927 (or 86924 counting only the distinct ones).

The product of its (nonzero) digits is 388962, while the sum is 45.

The spelling of 13771377306 in words is "thirteen billion, seven hundred seventy-one million, three hundred seventy-seven thousand, three hundred six".