30130113200400 has 360 divisors, whose sum is σ = 110119914295040. Its totient is φ = 7607882880000.

The previous prime is 30130113200393. The next prime is 30130113200401. The reversal of 30130113200400 is 400231103103.

30130113200400 is a `hidden beast` number, since 3 + 0 + 1 + 301 + 1 + 320 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30130113200401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133335510 + ... + 133561290.

Almost surely, 2^{30130113200400} is an apocalyptic number.

30130113200400 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 30130113200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55059957147520).

30130113200400 is an abundant number, since it is smaller than the sum of its proper divisors (79989801094640).

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

30130113200400 is a wasteful number, since it uses less digits than its factorization.

30130113200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227775 (or 227761 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30130113200400 its reverse (400231103103), we get a palindrome (30530344303503).

The spelling of 30130113200400 in words is "thirty trillion, one hundred thirty billion, one hundred thirteen million, two hundred thousand, four hundred".