323203103013120 has 288 divisors, whose sum is σ = 1128127700689920. Its totient is φ = 78209021829120.

The previous prime is 323203103013107. The next prime is 323203103013181. The reversal of 323203103013120 is 21310301302323.

It is a super-3 number, since 3×323203103013120³ (a number of 45 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 16111141 + ... + 30099419.

It is an arithmetic number, because the mean of its divisors is an integer number (3917110071840).

Almost surely, 2^{323203103013120} is an apocalyptic number.

323203103013120 is a gapful number since it is divisible by the number (30) 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 323203103013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564063850344960).

323203103013120 is an abundant number, since it is smaller than the sum of its proper divisors (804924597676800).

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

323203103013120 is a wasteful number, since it uses less digits than its factorization.

323203103013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13988861 (or 13988847 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 323203103013120 its reverse (21310301302323), we get a palindrome (344513404315443).

The spelling of 323203103013120 in words is "three hundred twenty-three trillion, two hundred three billion, one hundred three million, thirteen thousand, one hundred twenty".