313300304400320 has 112 divisors (see below), whose sum is σ = 785322346304160. Its totient is φ = 118722753736704.

The previous prime is 313300304400299. The next prime is 313300304400337. The reversal of 313300304400320 is 23004403003313.

It is a happy number.

It is a super-2 number, since 2×313300304400320² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313300304400320.

It is a congruent number.

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, 525482222 + ... + 526078098.

It is an arithmetic number, because the mean of its divisors is an integer number (7011806663430).

Almost surely, 2^{313300304400320} is an apocalyptic number.

It is an amenable number.

313300304400320 is an abundant number, since it is smaller than the sum of its proper divisors (472022041903840).

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

313300304400320 is a wasteful number, since it uses less digits than its factorization.

313300304400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682390 (or 682380 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 313300304400320 its reverse (23004403003313), we get a palindrome (336304707403633).

The spelling of 313300304400320 in words is "three hundred thirteen trillion, three hundred billion, three hundred four million, four hundred thousand, three hundred twenty".