13233600000 has 360 divisors, whose sum is σ = 47790222480. Its totient is φ = 3525120000.

The previous prime is 13233599993. The next prime is 13233600007. The reversal of 13233600000 is 633231.

It is a happy number.

13233600000 is a `hidden beast` number, since 1 + 32 + 33 + 600 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13233599993) and next prime (13233600007).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233600007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14399541 + ... + 14400459.

It is an arithmetic number, because the mean of its divisors is an integer number (132750618).

Almost surely, 2^13233600000 is an apocalyptic number.

13233600000 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 13233600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23895111240).

13233600000 is an abundant number, since it is smaller than the sum of its proper divisors (34556622480).

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

13233600000 is an frugal number, since it uses more digits than its factorization.

13233600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The spelling of 13233600000 in words is "thirteen billion, two hundred thirty-three million, six hundred thousand".