30320133000000 has 392 divisors, whose sum is σ = 100486987500096. Its totient is φ = 8068377600000.

The previous prime is 30320132999993. The next prime is 30320133000029. The reversal of 30320133000000 is 33102303.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1460989624 + ... + 1461010376.

Almost surely, 2^{30320133000000} is an apocalyptic number.

30320133000000 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 30320133000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50243493750048).

30320133000000 is an abundant number, since it is smaller than the sum of its proper divisors (70166854500096).

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

30320133000000 is an frugal number, since it uses more digits than its factorization.

30320133000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21285 (or 21250 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 30320133000000 its reverse (33102303), we get a palindrome (30320166102303).

The spelling of 30320133000000 in words is "thirty trillion, three hundred twenty billion, one hundred thirty-three million", and thus it is an aban number.