13116784032 has 192 divisors, whose sum is σ = 42360192000. Its totient is φ = 3915267840.

The previous prime is 13116784019. The next prime is 13116784073. The reversal of 13116784032 is 23048761131.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626469 + ... + 647067.

It is an arithmetic number, because the mean of its divisors is an integer number (220626000).

Almost surely, 2^13116784032 is an apocalyptic number.

13116784032 is a gapful number since it is divisible by the number (12) 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 13116784032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21180096000).

13116784032 is an abundant number, since it is smaller than the sum of its proper divisors (29243407968).

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

13116784032 is a wasteful number, since it uses less digits than its factorization.

13116784032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20696 (or 20682 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13116784032 in words is "thirteen billion, one hundred sixteen million, seven hundred eighty-four thousand, thirty-two".