30023300013300 has 432 divisors, whose sum is σ = 105459872761152. Its totient is φ = 7080068044800.

The previous prime is 30023300013293. The next prime is 30023300013361. The reversal of 30023300013300 is 331000332003.

30023300013300 is a `hidden beast` number, since 3 + 0 + 0 + 2 + 330 + 0 + 0 + 1 + 330 + 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 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 143 ways as a sum of consecutive naturals, for example, 2722702387 + ... + 2722713413.

It is an arithmetic number, because the mean of its divisors is an integer number (244120075836).

Almost surely, 2^{30023300013300} is an apocalyptic number.

30023300013300 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 30023300013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52729936380576).

30023300013300 is an abundant number, since it is smaller than the sum of its proper divisors (75436572747852).

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

30023300013300 is a wasteful number, since it uses less digits than its factorization.

30023300013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18528 (or 18518 counting only the distinct ones).

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

Adding to 30023300013300 its reverse (331000332003), we get a palindrome (30354300345303).

The spelling of 30023300013300 in words is "thirty trillion, twenty-three billion, three hundred million, thirteen thousand, three hundred".