30131371200 has 1008 divisors, whose sum is σ = 125313765120. Its totient is φ = 6200033280.

The previous prime is 30131371181. The next prime is 30131371201. The reversal of 30131371200 is 217313103.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (30131371201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 281601547 + ... + 281601653.

Almost surely, 2^30131371200 is an apocalyptic number.

30131371200 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 30131371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62656882560).

30131371200 is an abundant number, since it is smaller than the sum of its proper divisors (95182393920).

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

30131371200 is a wasteful number, since it uses less digits than its factorization.

30131371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

Adding to 30131371200 its reverse (217313103), we get a palindrome (30348684303).

The spelling of 30131371200 in words is "thirty billion, one hundred thirty-one million, three hundred seventy-one thousand, two hundred".