13008133632 has 160 divisors (see below), whose sum is σ = 38232865440. Its totient is φ = 3904634880.

The previous prime is 13008133631. The next prime is 13008133639. The reversal of 13008133632 is 23633180031.

It is a super-2 number, since 2×13008133632² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13008133632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13008133631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810744 + ... + 826632.

It is an arithmetic number, because the mean of its divisors is an integer number (238955409).

Almost surely, 2^13008133632 is an apocalyptic number.

13008133632 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 13008133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19116432720).

13008133632 is an abundant number, since it is smaller than the sum of its proper divisors (25224731808).

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

13008133632 is a wasteful number, since it uses less digits than its factorization.

13008133632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15964 (or 15948 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 13008133632 in words is "thirteen billion, eight million, one hundred thirty-three thousand, six hundred thirty-two".