13006774718388 has 144 divisors (see below), whose sum is σ = 35941737109824. Its totient is φ = 3933257502720.

The previous prime is 13006774718251. The next prime is 13006774718389. The reversal of 13006774718388 is 88381747760031.

13006774718388 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 6 + 7 + 7 + 471 + 83 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13006774718389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729193006 + ... + 729210842.

It is an arithmetic number, because the mean of its divisors is an integer number (249595396596).

Almost surely, 2^{13006774718388} is an apocalyptic number.

13006774718388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13006774718388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17970868554912).

13006774718388 is an abundant number, since it is smaller than the sum of its proper divisors (22934962391436).

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

13006774718388 is a wasteful number, since it uses less digits than its factorization.

13006774718388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21582 (or 21577 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 13006774718388 in words is "thirteen trillion, six billion, seven hundred seventy-four million, seven hundred eighteen thousand, three hundred eighty-eight".