313104424320000 has 4400 divisors, whose sum is σ = 1294295179364352. Its totient is φ = 75107450880000.

The previous prime is 313104424319993. The next prime is 313104424320067. The reversal of 313104424320000 is 23424401313.

313104424320000 is a `hidden beast` number, since 3 + 1 + 3 + 10 + 442 + 4 + 3 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 1589362559902 + ... + 1589362560098.

Almost surely, 2^{313104424320000} is an apocalyptic number.

313104424320000 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 313104424320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647147589682176).

313104424320000 is an abundant number, since it is smaller than the sum of its proper divisors (981190755044352).

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

313104424320000 is a wasteful number, since it uses less digits than its factorization.

313104424320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 313104424320000 its reverse (23424401313), we get a palindrome (313127848721313).

The spelling of 313104424320000 in words is "three hundred thirteen trillion, one hundred four billion, four hundred twenty-four million, three hundred twenty thousand".