202313320123320 has 384 divisors, whose sum is σ = 771697313412480. Its totient is φ = 45002649600000.

The previous prime is 202313320123309. The next prime is 202313320123351. The reversal of 202313320123320 is 23321023313202.

202313320123320 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 1 + 3 + 320 + 1 + 2 + 332 + 0 = 666.

It is a super-3 number, since 3×202313320123320³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38989770 + ... + 43872870.

It is an arithmetic number, because the mean of its divisors is an integer number (2009628420345).

Almost surely, 2^{202313320123320} is an apocalyptic number.

202313320123320 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 202313320123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385848656706240).

202313320123320 is an abundant number, since it is smaller than the sum of its proper divisors (569383993289160).

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

202313320123320 is a wasteful number, since it uses less digits than its factorization.

202313320123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4883567 (or 4883560 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 202313320123320 its reverse (23321023313202), we get a palindrome (225634343436522).

The spelling of 202313320123320 in words is "two hundred two trillion, three hundred thirteen billion, three hundred twenty million, one hundred twenty-three thousand, three hundred twenty".