13211133008320 has 112 divisors (see below), whose sum is σ = 33886930760928. Its totient is φ = 4876805468160.

The previous prime is 13211133008273. The next prime is 13211133008321. The reversal of 13211133008320 is 2380033111231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211133008321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17353107 + ... + 18098413.

It is an arithmetic number, because the mean of its divisors is an integer number (302561881794).

Almost surely, 2^{13211133008320} is an apocalyptic number.

13211133008320 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 13211133008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16943465380464).

13211133008320 is an abundant number, since it is smaller than the sum of its proper divisors (20675797752608).

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

13211133008320 is a wasteful number, since it uses less digits than its factorization.

13211133008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749598 (or 749588 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 13211133008320 its reverse (2380033111231), we get a palindrome (15591166119551).

The spelling of 13211133008320 in words is "thirteen trillion, two hundred eleven billion, one hundred thirty-three million, eight thousand, three hundred twenty".