12330321101300 has 72 divisors (see below), whose sum is σ = 26930440013400. Its totient is φ = 4900187013120.

The previous prime is 12330321101261. The next prime is 12330321101333. The reversal of 12330321101300 is 310112303321.

It can be written as a sum of positive squares in 12 ways, for example, as 5730220988944 + 6600100112356 = 2393788^2 + 2569066^2 .

It is a super-2 number, since 2×12330321101300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14426306 + ... + 15257094.

It is an arithmetic number, because the mean of its divisors is an integer number (374033889075).

Almost surely, 2^{12330321101300} is an apocalyptic number.

12330321101300 is a gapful number since it is divisible by the number (10) 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 12330321101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465220006700).

12330321101300 is an abundant number, since it is smaller than the sum of its proper divisors (14600118912100).

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

12330321101300 is a wasteful number, since it uses less digits than its factorization.

12330321101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831765 (or 831758 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 12330321101300 its reverse (310112303321), we get a palindrome (12640433404621).

It can be divided in two parts, 1233032 and 1101300, that added together give a palindrome (2334332).

The spelling of 12330321101300 in words is "twelve trillion, three hundred thirty billion, three hundred twenty-one million, one hundred one thousand, three hundred".