321131013330000 has 200 divisors, whose sum is σ = 1039624116916000. Its totient is φ = 85389561792000.

The previous prime is 321131013329981. The next prime is 321131013330031. The reversal of 321131013330000 is 33310131123.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4865770 + ... + 25805769.

It is an arithmetic number, because the mean of its divisors is an integer number (5198120584580).

Almost surely, 2^{321131013330000} is an apocalyptic number.

321131013330000 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 321131013330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519812058458000).

321131013330000 is an abundant number, since it is smaller than the sum of its proper divisors (718493103586000).

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

321131013330000 is a wasteful number, since it uses less digits than its factorization.

321131013330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30671919 (or 30671898 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 321131013330000 its reverse (33310131123), we get a palindrome (321164323461123).

The spelling of 321131013330000 in words is "three hundred twenty-one trillion, one hundred thirty-one billion, thirteen million, three hundred thirty thousand".