1323212333130 has 160 divisors (see below), whose sum is σ = 3655776920400. Its totient is φ = 343165455360.

The previous prime is 1323212333129. The next prime is 1323212333147. The reversal of 1323212333130 is 313332123231.

1323212333130 is a `hidden beast` number, since 1 + 3 + 2 + 321 + 2 + 3 + 331 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1029772359729 + 293439973401 = 1014777^2 + 541701^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1323212333094 and 1323212333103.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 76384870 + ... + 76402190.

Almost surely, 2^{1323212333130} is an apocalyptic number.

1323212333130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323212333130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827888460200).

1323212333130 is an abundant number, since it is smaller than the sum of its proper divisors (2332564587270).

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

1323212333130 is a wasteful number, since it uses less digits than its factorization.

1323212333130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19926 (or 19917 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1323212333130 its reverse (313332123231), we get a palindrome (1636544456361).

The spelling of 1323212333130 in words is "one trillion, three hundred twenty-three billion, two hundred twelve million, three hundred thirty-three thousand, one hundred thirty".