303312113000 has 256 divisors, whose sum is σ = 817709256000. Its totient is φ = 104310374400.

The previous prime is 303312112963. The next prime is 303312113063. The reversal of 303312113000 is 311213303.

It can be written as a sum of positive squares in 32 ways, for example, as 48725264644 + 254586848356 = 220738^2 + 504566^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 303312113000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21429926 + ... + 21444074.

Almost surely, 2^303312113000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303312113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408854628000).

303312113000 is an abundant number, since it is smaller than the sum of its proper divisors (514397143000).

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

303312113000 is a wasteful number, since it uses less digits than its factorization.

303312113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14297 (or 14283 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 303312113000 its reverse (311213303), we get a palindrome (303623326303).

The spelling of 303312113000 in words is "three hundred three billion, three hundred twelve million, one hundred thirteen thousand".