13353064000 has 224 divisors, whose sum is σ = 35634972672. Its totient is φ = 4942080000.

The previous prime is 13353063961. The next prime is 13353064009. The reversal of 13353064000 is 46035331.

13353064000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13353064009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5702830 + ... + 5705170.

Almost surely, 2^13353064000 is an apocalyptic number.

13353064000 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 13353064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17817486336).

13353064000 is an abundant number, since it is smaller than the sum of its proper divisors (22281908672).

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

13353064000 is a wasteful number, since it uses less digits than its factorization.

13353064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 13353064000 its reverse (46035331), we get a palindrome (13399099331).

The spelling of 13353064000 in words is "thirteen billion, three hundred fifty-three million, sixty-four thousand".