321013312000 has 160 divisors (see below), whose sum is σ = 847555909200. Its totient is φ = 120851660800.

The previous prime is 321013311961. The next prime is 321013312003. The reversal of 321013312000 is 213310123.

It can be written as a sum of positive squares in 8 ways, for example, as 55070947584 + 265942364416 = 234672^2 + 515696^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (321013312003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 940476 + ... + 1235524.

Almost surely, 2^321013312000 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 321013312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423777954600).

321013312000 is an abundant number, since it is smaller than the sum of its proper divisors (526542597200).

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

321013312000 is an equidigital number, since it uses as much as digits as its factorization.

321013312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295099 (or 295073 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 321013312000 its reverse (213310123), we get a palindrome (321226622123).

The spelling of 321013312000 in words is "three hundred twenty-one billion, thirteen million, three hundred twelve thousand".