321013043340420 has 96 divisors (see below), whose sum is σ = 913584143122560. Its totient is φ = 84198981519360.

The previous prime is 321013043340389. The next prime is 321013043340421. The reversal of 321013043340420 is 24043340310123.

It is a happy number.

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 (321013043340421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283043799 + ... + 284175681.

It is an arithmetic number, because the mean of its divisors is an integer number (9516501490860).

Almost surely, 2^{321013043340420} is an apocalyptic number.

321013043340420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321013043340420 is an abundant number, since it is smaller than the sum of its proper divisors (592571099782140).

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

321013043340420 is a wasteful number, since it uses less digits than its factorization.

321013043340420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209445 (or 1209443 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 321013043340420 its reverse (24043340310123), we get a palindrome (345056383650543).

The spelling of 321013043340420 in words is "three hundred twenty-one trillion, thirteen billion, forty-three million, three hundred forty thousand, four hundred twenty".