30131203200 has 384 divisors, whose sum is σ = 119397120000. Its totient is φ = 6524375040.

The previous prime is 30131203187. The next prime is 30131203237. The reversal of 30131203200 is 230213103.

It is a tau number, because it is divible by the number of its divisors (384).

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 30131203200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1265001 + ... + 1288599.

It is an arithmetic number, because the mean of its divisors is an integer number (310930000).

Almost surely, 2^30131203200 is an apocalyptic number.

30131203200 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 30131203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59698560000).

30131203200 is an abundant number, since it is smaller than the sum of its proper divisors (89265916800).

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

30131203200 is a wasteful number, since it uses less digits than its factorization.

30131203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23652 (or 23635 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 30131203200 its reverse (230213103), we get a palindrome (30361416303).

The spelling of 30131203200 in words is "thirty billion, one hundred thirty-one million, two hundred three thousand, two hundred".