321023321021312 has 128 divisors (see below), whose sum is σ = 800028170961600. Its totient is φ = 124916298301440.

The previous prime is 321023321021311. The next prime is 321023321021341. The reversal of 321023321021312 is 213120123320123.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321023321021311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225194237 + ... + 226615292.

Almost surely, 2^{321023321021312} is an apocalyptic number.

321023321021312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

321023321021312 is an abundant number, since it is smaller than the sum of its proper divisors (479004849940288).

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

321023321021312 is a wasteful number, since it uses less digits than its factorization.

321023321021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451809624 (or 451809612 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 321023321021312 its reverse (213120123320123), we get a palindrome (534143444341435).

The spelling of 321023321021312 in words is "three hundred twenty-one trillion, twenty-three billion, three hundred twenty-one million, twenty-one thousand, three hundred twelve".