313314133024000 has 72 divisors (see below), whose sum is σ = 780504669709128. Its totient is φ = 125325653196800.

The previous prime is 313314133023971. The next prime is 313314133024033. The reversal of 313314133024000 is 420331413313.

It can be written as a sum of positive squares in 4 ways, for example, as 28784169247744 + 284529963776256 = 5365088^2 + 16868016^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 313314133024000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4895501329 + ... + 4895565328.

It is an arithmetic number, because the mean of its divisors is an integer number (10840342634849).

Almost surely, 2^{313314133024000} is an apocalyptic number.

It is an amenable number.

313314133024000 is an abundant number, since it is smaller than the sum of its proper divisors (467190536685128).

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

313314133024000 is an frugal number, since it uses more digits than its factorization.

313314133024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9791066688 (or 9791066664 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 313314133024000 its reverse (420331413313), we get a palindrome (313734464437313).

The spelling of 313314133024000 in words is "three hundred thirteen trillion, three hundred fourteen billion, one hundred thirty-three million, twenty-four thousand".