30030133023000 has 640 divisors, whose sum is σ = 120542075596800. Its totient is φ = 6896868768000.

The previous prime is 30030133022963. The next prime is 30030133023001. The reversal of 30030133023000 is 32033103003.

30030133023000 is a `hidden beast` number, since 3 + 0 + 0 + 30 + 1 + 330 + 2 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30030133023001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16042057 + ... + 17815943.

It is an arithmetic number, because the mean of its divisors is an integer number (188346993120).

Almost surely, 2^{30030133023000} is an apocalyptic number.

30030133023000 is a gapful number since it is divisible by the number (30) 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 30030133023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60271037798400).

30030133023000 is an abundant number, since it is smaller than the sum of its proper divisors (90511942573800).

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

30030133023000 is a wasteful number, since it uses less digits than its factorization.

30030133023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773950 (or 1773927 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 30030133023000 its reverse (32033103003), we get a palindrome (30062166126003).

The spelling of 30030133023000 in words is "thirty trillion, thirty billion, one hundred thirty-three million, twenty-three thousand".