133320000000 has 640 divisors, whose sum is σ = 489120622848. Its totient is φ = 32000000000.

The previous prime is 133319999987. The next prime is 133320000001. The reversal of 133320000000 is 23331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (133320000001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1319999950 + ... + 1320000050.

Almost surely, 2^133320000000 is an apocalyptic number.

133320000000 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 133320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244560311424).

133320000000 is an abundant number, since it is smaller than the sum of its proper divisors (355800622848).

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

133320000000 is an frugal number, since it uses more digits than its factorization.

133320000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 133320000000 its reverse (23331), we get a palindrome (133320023331).

The spelling of 133320000000 in words is "one hundred thirty-three billion, three hundred twenty million", and thus it is an aban number.