13113870336 has 576 divisors, whose sum is σ = 46219904640. Its totient is φ = 3503554560.

The previous prime is 13113870331. The next prime is 13113870353. The reversal of 13113870336 is 63307831131.

It is a happy number.

13113870336 is a `hidden beast` number, since 1 + 311 + 3 + 8 + 7 + 0 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 13113870336.

It is not an unprimeable number, because it can be changed into a prime (13113870331) 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, 195729375 + ... + 195729441.

It is an arithmetic number, because the mean of its divisors is an integer number (80242890).

Almost surely, 2^13113870336 is an apocalyptic number.

13113870336 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 13113870336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23109952320).

13113870336 is an abundant number, since it is smaller than the sum of its proper divisors (33106034304).

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

13113870336 is a wasteful number, since it uses less digits than its factorization.

13113870336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13113870336 in words is "thirteen billion, one hundred thirteen million, eight hundred seventy thousand, three hundred thirty-six".