321022113001000 has 128 divisors (see below), whose sum is σ = 753100908917760. Its totient is φ = 128082870432000.

The previous prime is 321022113000977. The next prime is 321022113001019. The reversal of 321022113001000 is 100311220123.

It is a super-3 number, since 3×321022113001000³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

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, 681425530 + ... + 681896470.

It is an arithmetic number, because the mean of its divisors is an integer number (5883600850920).

Almost surely, 2^{321022113001000} 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 321022113001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376550454458880).

321022113001000 is an abundant number, since it is smaller than the sum of its proper divisors (432078795916760).

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

321022113001000 is a wasteful number, since it uses less digits than its factorization.

321022113001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472692 (or 472678 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 321022113001000 its reverse (100311220123), we get a palindrome (321122424221123).

The spelling of 321022113001000 in words is "three hundred twenty-one trillion, twenty-two billion, one hundred thirteen million, one thousand".