13353200000 has 384 divisors, whose sum is σ = 40159929600. Its totient is φ = 4320000000.

The previous prime is 13353199991. The next prime is 13353200009. The reversal of 13353200000 is 235331.

It is an interprime number because it is at equal distance from previous prime (13353199991) and next prime (13353200009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13353200009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53199875 + ... + 53200125.

It is an arithmetic number, because the mean of its divisors is an integer number (104583150).

Almost surely, 2^13353200000 is an apocalyptic number.

13353200000 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 13353200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20079964800).

13353200000 is an abundant number, since it is smaller than the sum of its proper divisors (26806729600).

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

13353200000 is an frugal number, since it uses more digits than its factorization.

13353200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

Adding to 13353200000 its reverse (235331), we get a palindrome (13353435331).

The spelling of 13353200000 in words is "thirteen billion, three hundred fifty-three million, two hundred thousand".