321131020 has 72 divisors (see below), whose sum is σ = 818820576. Its totient is φ = 103612416.

The previous prime is 321131011. The next prime is 321131047. The reversal of 321131020 is 20131123.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36492 + ... + 44428.

It is an arithmetic number, because the mean of its divisors is an integer number (11372508).

Almost surely, 2^321131020 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 321131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409410288).

321131020 is an abundant number, since it is smaller than the sum of its proper divisors (497689556).

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

321131020 is a wasteful number, since it uses less digits than its factorization.

321131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7987 (or 7968 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 321131020 is about 17920.1289057864. The cubic root of 321131020 is about 684.7952715477.

Adding to 321131020 its reverse (20131123), we get a palindrome (341262143).

It can be divided in two parts, 32113 and 1020, that added together give a palindrome (33133).

The spelling of 321131020 in words is "three hundred twenty-one million, one hundred thirty-one thousand, twenty".