13011320322 has 384 divisors, whose sum is σ = 40274357760. Its totient is φ = 2926264320.

The previous prime is 13011320291. The next prime is 13011320323. The reversal of 13011320322 is 22302311031.

13011320322 is a `hidden beast` number, since 13 + 0 + 11 + 320 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13011320295 and 13011320304.

It is not an unprimeable number, because it can be changed into a prime (13011320323) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19332978 + ... + 19333650.

It is an arithmetic number, because the mean of its divisors is an integer number (104881140).

Almost surely, 2^13011320322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13011320322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20137178880).

13011320322 is an abundant number, since it is smaller than the sum of its proper divisors (27263037438).

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

13011320322 is a wasteful number, since it uses less digits than its factorization.

13011320322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13011320322 its reverse (22302311031), we get a palindrome (35313631353).

It can be divided in two parts, 13011 and 320322, that added together give a palindrome (333333).

The spelling of 13011320322 in words is "thirteen billion, eleven million, three hundred twenty thousand, three hundred twenty-two".