133033303034000 has 40 divisors (see below), whose sum is σ = 321674526741048. Its totient is φ = 53213321212800.

The previous prime is 133033303033933. The next prime is 133033303034059. The reversal of 133033303034000 is 430303330331.

It can be written as a sum of positive squares in 4 ways, for example, as 1575245887744 + 131458057146256 = 1255088^2 + 11465516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×133033303034000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33258323759 + ... + 33258327758.

Almost surely, 2^{133033303034000} is an apocalyptic number.

133033303034000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133033303034000 is an abundant number, since it is smaller than the sum of its proper divisors (188641223707048).

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

133033303034000 is an equidigital number, since it uses as much as digits as its factorization.

133033303034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66516651540 (or 66516651524 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 26.

Adding to 133033303034000 its reverse (430303330331), we get a palindrome (133463606364331).

The spelling of 133033303034000 in words is "one hundred thirty-three trillion, thirty-three billion, three hundred three million, thirty-four thousand".