13113043776 has 448 divisors, whose sum is σ = 45696591360. Its totient is φ = 3609722880.

The previous prime is 13113043771. The next prime is 13113043787. The reversal of 13113043776 is 67734031131.

13113043776 is a `hidden beast` number, since 1 + 311 + 304 + 37 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13113043776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113043771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67943136 + ... + 67943328.

It is an arithmetic number, because the mean of its divisors is an integer number (102001320).

Almost surely, 2^13113043776 is an apocalyptic number.

13113043776 is a gapful number since it is divisible by the number (16) 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 13113043776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22848295680).

13113043776 is an abundant number, since it is smaller than the sum of its proper divisors (32583547584).

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

13113043776 is a wasteful number, since it uses less digits than its factorization.

13113043776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 13113043776 in words is "thirteen billion, one hundred thirteen million, forty-three thousand, seven hundred seventy-six".