133305000000 has 224 divisors, whose sum is σ = 440926996224. Its totient is φ = 35544000000.

The previous prime is 133304999957. The next prime is 133305000067. The reversal of 133305000000 is 503331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14995557 + ... + 15004443.

Almost surely, 2^133305000000 is an apocalyptic number.

133305000000 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 133305000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220463498112).

133305000000 is an abundant number, since it is smaller than the sum of its proper divisors (307621996224).

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

133305000000 is an frugal number, since it uses more digits than its factorization.

133305000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8937 (or 8897 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

Adding to 133305000000 its reverse (503331), we get a palindrome (133305503331).

The spelling of 133305000000 in words is "one hundred thirty-three billion, three hundred five million", and thus it is an aban number.