20313340320 has 576 divisors, whose sum is σ = 80325955584. Its totient is φ = 4224430080.

The previous prime is 20313340253. The next prime is 20313340339. The reversal of 20313340320 is 2304331302.

It is a super-3 number, since 3×20313340320³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47130505 + ... + 47130935.

It is an arithmetic number, because the mean of its divisors is an integer number (139454784).

Almost surely, 2^20313340320 is an apocalyptic number.

20313340320 is a gapful number since it is divisible by the number (20) 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 20313340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40162977792).

20313340320 is an abundant number, since it is smaller than the sum of its proper divisors (60012615264).

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

20313340320 is a wasteful number, since it uses less digits than its factorization.

20313340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 20313340320 its reverse (2304331302), we get a palindrome (22617671622).

The spelling of 20313340320 in words is "twenty billion, three hundred thirteen million, three hundred forty thousand, three hundred twenty".