13202321011000 has 384 divisors, whose sum is σ = 35476809338880. Its totient is φ = 4586519520000.

The previous prime is 13202321010961. The next prime is 13202321011057. The reversal of 13202321011000 is 11012320231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2757950607 + ... + 2757955393.

It is an arithmetic number, because the mean of its divisors is an integer number (92387524320).

Almost surely, 2^{13202321011000} is an apocalyptic number.

13202321011000 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 13202321011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17738404669440).

13202321011000 is an abundant number, since it is smaller than the sum of its proper divisors (22274488327880).

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

13202321011000 is a wasteful number, since it uses less digits than its factorization.

13202321011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13202321011000 its reverse (11012320231), we get a palindrome (13213333331231).

The spelling of 13202321011000 in words is "thirteen trillion, two hundred two billion, three hundred twenty-one million, eleven thousand".