30133412214300 has 432 divisors, whose sum is σ = 98490146227200. Its totient is φ = 7697378764800.

The previous prime is 30133412214209. The next prime is 30133412214349. The reversal of 30133412214300 is 341221433103.

It is a happy number.

30133412214300 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 3 + 4 + 1 + 221 + 430 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4445108311 + ... + 4445115089.

It is an arithmetic number, because the mean of its divisors is an integer number (227986449600).

Almost surely, 2^{30133412214300} is an apocalyptic number.

30133412214300 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 30133412214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49245073113600).

30133412214300 is an abundant number, since it is smaller than the sum of its proper divisors (68356734012900).

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

30133412214300 is a wasteful number, since it uses less digits than its factorization.

30133412214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8426 (or 8416 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 30133412214300 its reverse (341221433103), we get a palindrome (30474633647403).

The spelling of 30133412214300 in words is "thirty trillion, one hundred thirty-three billion, four hundred twelve million, two hundred fourteen thousand, three hundred".