30010131103200 has 288 divisors, whose sum is σ = 103436719563744. Its totient is φ = 7531394826240.

The previous prime is 30010131103193. The next prime is 30010131103237. The reversal of 30010131103200 is 230113101003.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30010131103200.

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 47 ways as a sum of consecutive naturals, for example, 978246262 + ... + 978276938.

It is an arithmetic number, because the mean of its divisors is an integer number (359155276263).

Almost surely, 2^{30010131103200} is an apocalyptic number.

30010131103200 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 30010131103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51718359781872).

30010131103200 is an abundant number, since it is smaller than the sum of its proper divisors (73426588460544).

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

30010131103200 is a wasteful number, since it uses less digits than its factorization.

30010131103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54694 (or 54681 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 30010131103200 its reverse (230113101003), we get a palindrome (30240244204203).

The spelling of 30010131103200 in words is "thirty trillion, ten billion, one hundred thirty-one million, one hundred three thousand, two hundred".