13123676214 has 288 divisors, whose sum is σ = 35023951872. Its totient is φ = 3669494400.

The previous prime is 13123676179. The next prime is 13123676227. The reversal of 13123676214 is 41267632131.

13123676214 is a `hidden beast` number, since 1 + 3 + 1 + 23 + 6 + 7 + 621 + 4 = 666.

13123676214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 41928522 + ... + 41928834.

It is an arithmetic number, because the mean of its divisors is an integer number (121610944).

Almost surely, 2^13123676214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123676214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17511975936).

13123676214 is an abundant number, since it is smaller than the sum of its proper divisors (21900275658).

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

13123676214 is a wasteful number, since it uses less digits than its factorization.

13123676214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 383 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 13123676214 in words is "thirteen billion, one hundred twenty-three million, six hundred seventy-six thousand, two hundred fourteen".