320303013030 has 768 divisors, whose sum is σ = 1155790411776. Its totient is φ = 59391221760.

The previous prime is 320303013013. The next prime is 320303013049. The reversal of 320303013030 is 30310303023.

320303013030 is a `hidden beast` number, since 32 + 0 + 30 + 301 + 303 + 0 = 666.

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 = 320303012994 and 320303013012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1023332154 + ... + 1023332466.

It is an arithmetic number, because the mean of its divisors is an integer number (1504935432).

Almost surely, 2^320303013030 is an apocalyptic number.

320303013030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 320303013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577895205888).

320303013030 is an abundant number, since it is smaller than the sum of its proper divisors (835487398746).

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

320303013030 is a wasteful number, since it uses less digits than its factorization.

320303013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 320303013030 its reverse (30310303023), we get a palindrome (350613316053).

The spelling of 320303013030 in words is "three hundred twenty billion, three hundred three million, thirteen thousand, thirty".