20313232321200 has 960 divisors, whose sum is σ = 80822986997760. Its totient is φ = 4246626631680.

The previous prime is 20313232321199. The next prime is 20313232321259. The reversal of 20313232321200 is 212323231302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5669334609 + ... + 5669338191.

It is an arithmetic number, because the mean of its divisors is an integer number (84190611456).

Almost surely, 2^{20313232321200} is an apocalyptic number.

20313232321200 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 20313232321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40411493498880).

20313232321200 is an abundant number, since it is smaller than the sum of its proper divisors (60509754676560).

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

20313232321200 is a wasteful number, since it uses less digits than its factorization.

20313232321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 20313232321200 its reverse (212323231302), we get a palindrome (20525555552502).

The spelling of 20313232321200 in words is "twenty trillion, three hundred thirteen billion, two hundred thirty-two million, three hundred twenty-one thousand, two hundred".