202313120000 has 180 divisors, whose sum is σ = 507619806540. Its totient is φ = 80446464000.

The previous prime is 202313119999. The next prime is 202313120003. The reversal of 202313120000 is 21313202.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 115839483904 + 86473636096 = 340352^2 + 294064^2 .

It is not an unprimeable number, because it can be changed into a prime (202313120003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 27676346 + ... + 27683654.

Almost surely, 2^202313120000 is an apocalyptic number.

202313120000 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 202313120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253809903270).

202313120000 is an abundant number, since it is smaller than the sum of its proper divisors (305306686540).

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

202313120000 is an frugal number, since it uses more digits than its factorization.

202313120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518 (or 7489 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 202313120000 its reverse (21313202), we get a palindrome (202334433202).

The spelling of 202313120000 in words is "two hundred two billion, three hundred thirteen million, one hundred twenty thousand".