30103200133200 has 720 divisors, whose sum is σ = 112065054806016. Its totient is φ = 7463605248000.

The previous prime is 30103200133151. The next prime is 30103200133249. The reversal of 30103200133200 is 233100230103.

30103200133200 is a `hidden beast` number, since 3 + 0 + 10 + 320 + 0 + 1 + 332 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30103200133151) and next prime (30103200133249).

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3526199332 + ... + 3526207868.

Almost surely, 2^{30103200133200} is an apocalyptic number.

30103200133200 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 30103200133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56032527403008).

30103200133200 is an abundant number, since it is smaller than the sum of its proper divisors (81961854672816).

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

30103200133200 is a wasteful number, since it uses less digits than its factorization.

30103200133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9772 (or 9758 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30103200133200 its reverse (233100230103), we get a palindrome (30336300363303).

The spelling of 30103200133200 in words is "thirty trillion, one hundred three billion, two hundred million, one hundred thirty-three thousand, two hundred".