13286317632 has 448 divisors, whose sum is σ = 44958633984. Its totient is φ = 3373793280.

The previous prime is 13286317631. The next prime is 13286317637. The reversal of 13286317632 is 23671368231.

13286317632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13286317631) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 68840928 + ... + 68841120.

Almost surely, 2^13286317632 is an apocalyptic number.

13286317632 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 13286317632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22479316992).

13286317632 is an abundant number, since it is smaller than the sum of its proper divisors (31672316352).

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

13286317632 is a wasteful number, since it uses less digits than its factorization.

13286317632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The spelling of 13286317632 in words is "thirteen billion, two hundred eighty-six million, three hundred seventeen thousand, six hundred thirty-two".