321213013101000 has 256 divisors, whose sum is σ = 1113687836352000. Its totient is φ = 85645311897600.

The previous prime is 321213013100921. The next prime is 321213013101041. The reversal of 321213013101000 is 101310312123.

321213013101000 is a `hidden beast` number, since 3 + 21 + 21 + 301 + 310 + 10 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 201408717 + ... + 202997283.

It is an arithmetic number, because the mean of its divisors is an integer number (4350343110750).

Almost surely, 2^{321213013101000} is an apocalyptic number.

321213013101000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321213013101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556843918176000).

321213013101000 is an abundant number, since it is smaller than the sum of its proper divisors (792474823251000).

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

321213013101000 is a wasteful number, since it uses less digits than its factorization.

321213013101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596086 (or 1596066 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 321213013101000 its reverse (101310312123), we get a palindrome (321314323413123).

The spelling of 321213013101000 in words is "three hundred twenty-one trillion, two hundred thirteen billion, thirteen million, one hundred one thousand".