1323220100312 has 256 divisors, whose sum is σ = 2864013120000. Its totient is φ = 567959040000.

The previous prime is 1323220100263. The next prime is 1323220100383. The reversal of 1323220100312 is 2130010223231.

It is a super-2 number, since 2×1323220100312² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2651743439 + ... + 2651743937.

It is an arithmetic number, because the mean of its divisors is an integer number (11187551250).

Almost surely, 2^{1323220100312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323220100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432006560000).

1323220100312 is an abundant number, since it is smaller than the sum of its proper divisors (1540793019688).

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

1323220100312 is a wasteful number, since it uses less digits than its factorization.

1323220100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1323220100312 its reverse (2130010223231), we get a palindrome (3453230323543).

The spelling of 1323220100312 in words is "one trillion, three hundred twenty-three billion, two hundred twenty million, one hundred thousand, three hundred twelve".