30315001320 has 192 divisors, whose sum is σ = 101328786000. Its totient is φ = 7854465024.

The previous prime is 30315001313. The next prime is 30315001361. The reversal of 30315001320 is 2310051303.

30315001320 is a `hidden beast` number, since 3 + 0 + 31 + 500 + 132 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15498756036 + 14816245284 = 124494^2 + 121722^2 .

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 = 30315001293 and 30315001302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14238016 + ... + 14240144.

Almost surely, 2^30315001320 is an apocalyptic number.

30315001320 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 30315001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50664393000).

30315001320 is an abundant number, since it is smaller than the sum of its proper divisors (71013784680).

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

30315001320 is a wasteful number, since it uses less digits than its factorization.

30315001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 30315001320 its reverse (2310051303), we get a palindrome (32625052623).

The spelling of 30315001320 in words is "thirty billion, three hundred fifteen million, one thousand, three hundred twenty".