13011322000 has 80 divisors (see below), whose sum is σ = 31599874800. Its totient is φ = 5181619200.

The previous prime is 13011321991. The next prime is 13011322003. The reversal of 13011322000 is 22311031.

It can be written as a sum of positive squares in 8 ways, for example, as 942981264 + 12068340736 = 30708^2 + 109856^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13011322003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443796 + ... + 472204.

It is an arithmetic number, because the mean of its divisors is an integer number (394998435).

Almost surely, 2^13011322000 is an apocalyptic number.

13011322000 is a gapful number since it is divisible by the number (10) 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 13011322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15799937400).

13011322000 is an abundant number, since it is smaller than the sum of its proper divisors (18588552800).

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

13011322000 is a wasteful number, since it uses less digits than its factorization.

13011322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28661 (or 28645 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13011322000 its reverse (22311031), we get a palindrome (13033633031).

The spelling of 13011322000 in words is "thirteen billion, eleven million, three hundred twenty-two thousand".