12313001020320 has 4608 divisors, whose sum is σ = 63243887616000. Its totient is φ = 2096877404160.

The previous prime is 12313001020223. The next prime is 12313001020363. The reversal of 12313001020320 is 2302010031321.

12313001020320 is a `hidden beast` number, since 1 + 2 + 31 + 300 + 10 + 2 + 0 + 320 = 666.

It is a super-2 number, since 2×12313001020320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12313001020293 and 12313001020302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 29386637071 + ... + 29386637489.

It is an arithmetic number, because the mean of its divisors is an integer number (13724802000).

Almost surely, 2^{12313001020320} is an apocalyptic number.

12313001020320 is a gapful number since it is divisible by the number (10) 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 12313001020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31621943808000).

12313001020320 is an abundant number, since it is smaller than the sum of its proper divisors (50930886595680).

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

12313001020320 is a wasteful number, since it uses less digits than its factorization.

12313001020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12313001020320 its reverse (2302010031321), we get a palindrome (14615011051641).

The spelling of 12313001020320 in words is "twelve trillion, three hundred thirteen billion, one million, twenty thousand, three hundred twenty".