321213420214320 has 80 divisors (see below), whose sum is σ = 1027882944709632. Its totient is φ = 82893785859840.

The previous prime is 321213420214277. The next prime is 321213420214321. The reversal of 321213420214320 is 23412024312123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×321213420214320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (321213420214321) 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, 21586915962 + ... + 21586930841.

Almost surely, 2^{321213420214320} is an apocalyptic number.

321213420214320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321213420214320 is an abundant number, since it is smaller than the sum of its proper divisors (706669524495312).

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

321213420214320 is a wasteful number, since it uses less digits than its factorization.

321213420214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43173846850 (or 43173846844 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 321213420214320 its reverse (23412024312123), we get a palindrome (344625444526443).

The spelling of 321213420214320 in words is "three hundred twenty-one trillion, two hundred thirteen billion, four hundred twenty million, two hundred fourteen thousand, three hundred twenty".