133030012000 has 96 divisors (see below), whose sum is σ = 326968125120. Its totient is φ = 53193548800.

The previous prime is 133030011971. The next prime is 133030012021. The reversal of 133030012000 is 210030331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22625061 + ... + 22630939.

It is an arithmetic number, because the mean of its divisors is an integer number (3405917970).

Almost surely, 2^133030012000 is an apocalyptic number.

133030012000 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 133030012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163484062560).

133030012000 is an abundant number, since it is smaller than the sum of its proper divisors (193938113120).

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

133030012000 is an equidigital number, since it uses as much as digits as its factorization.

133030012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11561 (or 11543 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 133030012000 its reverse (210030331), we get a palindrome (133240042331).

The spelling of 133030012000 in words is "one hundred thirty-three billion, thirty million, twelve thousand".