30133103011200 has 288 divisors, whose sum is σ = 122882077446960. Its totient is φ = 6887566356480.

The previous prime is 30133103011181. The next prime is 30133103011211. The reversal of 30133103011200 is 211030133103.

It is a happy number.

30133103011200 is a `hidden beast` number, since 30 + 1 + 3 + 310 + 301 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 74533279 + ... + 74936478.

Almost surely, 2^{30133103011200} is an apocalyptic number.

30133103011200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30133103011200 is an abundant number, since it is smaller than the sum of its proper divisors (92748974435760).

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

30133103011200 is a wasteful number, since it uses less digits than its factorization.

30133103011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149469794 (or 149469774 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 30133103011200 its reverse (211030133103), we get a palindrome (30344133144303).

The spelling of 30133103011200 in words is "thirty trillion, one hundred thirty-three billion, one hundred three million, eleven thousand, two hundred".