13007382822 has 144 divisors (see below), whose sum is σ = 34857108000. Its totient is φ = 3422117376.

The previous prime is 13007382811. The next prime is 13007382823. The reversal of 13007382822 is 22828370031.

It is a happy number.

13007382822 is a `hidden beast` number, since 1 + 300 + 73 + 8 + 282 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13007382823) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4730304 + ... + 4733052.

It is an arithmetic number, because the mean of its divisors is an integer number (242063250).

Almost surely, 2^13007382822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13007382822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428554000).

13007382822 is an abundant number, since it is smaller than the sum of its proper divisors (21849725178).

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

13007382822 is a wasteful number, since it uses less digits than its factorization.

13007382822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13007382822 in words is "thirteen billion, seven million, three hundred eighty-two thousand, eight hundred twenty-two".