133303335000 has 640 divisors, whose sum is σ = 484090041600. Its totient is φ = 30240000000.

The previous prime is 133303334977. The next prime is 133303335029. The reversal of 133303335000 is 533303331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 316634790 + ... + 316635210.

It is an arithmetic number, because the mean of its divisors is an integer number (756390690).

Almost surely, 2^133303335000 is an apocalyptic number.

133303335000 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 133303335000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242045020800).

133303335000 is an abundant number, since it is smaller than the sum of its proper divisors (350786706600).

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

133303335000 is a wasteful number, since it uses less digits than its factorization.

133303335000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 3645, while the sum is 24.

Adding to 133303335000 its reverse (533303331), we get a palindrome (133836638331).

The spelling of 133303335000 in words is "one hundred thirty-three billion, three hundred three million, three hundred thirty-five thousand".