13321335552 has 288 divisors, whose sum is σ = 41950336512. Its totient is φ = 3673423872.

The previous prime is 13321335493. The next prime is 13321335553. The reversal of 13321335552 is 25553312331.

It is a super-3 number, since 3×13321335552³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13321335553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38389843 + ... + 38390189.

Almost surely, 2^13321335552 is an apocalyptic number.

13321335552 is a gapful number since it is divisible by the number (12) 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 13321335552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20975168256).

13321335552 is an abundant number, since it is smaller than the sum of its proper divisors (28629000960).

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

13321335552 is a wasteful number, since it uses less digits than its factorization.

13321335552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 589 counting only the distinct ones).

The product of its digits is 40500, while the sum is 33.

Adding to 13321335552 its reverse (25553312331), we get a palindrome (38874647883).

The spelling of 13321335552 in words is "thirteen billion, three hundred twenty-one million, three hundred thirty-five thousand, five hundred fifty-two".