30013312320 has 280 divisors, whose sum is σ = 113044446504. Its totient is φ = 7532642304.

The previous prime is 30013312279. The next prime is 30013312321. The reversal of 30013312320 is 2321331003.

30013312320 is a `hidden beast` number, since 30 + 0 + 1 + 3 + 312 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3605762304 + 26407550016 = 60048^2 + 162504^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 30013312293 and 30013312302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30013312321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 406584 + ... + 474696.

Almost surely, 2^30013312320 is an apocalyptic number.

30013312320 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 30013312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56522223252).

30013312320 is an abundant number, since it is smaller than the sum of its proper divisors (83031134184).

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

30013312320 is a wasteful number, since it uses less digits than its factorization.

30013312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68159 (or 68140 counting only the distinct ones).

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

Adding to 30013312320 its reverse (2321331003), we get a palindrome (32334643323).

The spelling of 30013312320 in words is "thirty billion, thirteen million, three hundred twelve thousand, three hundred twenty".