13213132320 has 192 divisors, whose sum is σ = 42772230144. Its totient is φ = 3426631680.

The previous prime is 13213132313. The next prime is 13213132363. The reversal of 13213132320 is 2323131231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7536564 + ... + 7538316.

It is an arithmetic number, because the mean of its divisors is an integer number (222772032).

Almost surely, 2^13213132320 is an apocalyptic number.

13213132320 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 13213132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21386115072).

13213132320 is an abundant number, since it is smaller than the sum of its proper divisors (29559097824).

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

13213132320 is a wasteful number, since it uses less digits than its factorization.

13213132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13213132320 its reverse (2323131231), we get a palindrome (15536263551).

It can be divided in two parts, 132131 and 32320, that added together give a triangular number (164451 = T₅₇₃).

The spelling of 13213132320 in words is "thirteen billion, two hundred thirteen million, one hundred thirty-two thousand, three hundred twenty".