30313012320 has 240 divisors, whose sum is σ = 107542844640. Its totient is φ = 8040923136.

The previous prime is 30313012309. The next prime is 30313012321. The reversal of 30313012320 is 2321031303.

30313012320 is a `hidden beast` number, since 30 + 313 + 0 + 1 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 30313012293 and 30313012302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30313012321) 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, 2495221 + ... + 2507339.

It is an arithmetic number, because the mean of its divisors is an integer number (448095186).

Almost surely, 2^30313012320 is an apocalyptic number.

30313012320 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 30313012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53771422320).

30313012320 is an abundant number, since it is smaller than the sum of its proper divisors (77229832320).

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

30313012320 is a wasteful number, since it uses less digits than its factorization.

30313012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12339 (or 12322 counting only the distinct ones).

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

Adding to 30313012320 its reverse (2321031303), we get a palindrome (32634043623).

The spelling of 30313012320 in words is "thirty billion, three hundred thirteen million, twelve thousand, three hundred twenty".