313020304000 has 128 divisors (see below), whose sum is σ = 779017309200. Its totient is φ = 125084160000.

The previous prime is 313020303983. The next prime is 313020304013. The reversal of 313020304000 is 403020313.

It can be written as a sum of positive squares in 8 ways, for example, as 9119486016 + 303900817984 = 95496^2 + 551272^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17094850 + ... + 17113150.

Almost surely, 2^313020304000 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 313020304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389508654600).

313020304000 is an abundant number, since it is smaller than the sum of its proper divisors (465997005200).

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

313020304000 is a wasteful number, since it uses less digits than its factorization.

313020304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19399 (or 19377 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 313020304000 its reverse (403020313), we get a palindrome (313423324313).

The spelling of 313020304000 in words is "three hundred thirteen billion, twenty million, three hundred four thousand".