321130000 has 100 divisors (see below), whose sum is σ = 823658220. Its totient is φ = 120832000.

The previous prime is 321129997. The next prime is 321130027. The reversal of 321130000 is 31123.

It can be written as a sum of positive squares in 10 ways, for example, as 206554384 + 114575616 = 14372^2 + 10704^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 169056 + ... + 170944.

Almost surely, 2^321130000 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 321130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411829110).

321130000 is an abundant number, since it is smaller than the sum of its proper divisors (502528220).

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

321130000 is a wasteful number, since it uses less digits than its factorization.

321130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 321130000 is about 17920.1004461471. The cubic root of 321130000 is about 684.7945465145.

Adding to 321130000 its reverse (31123), we get a palindrome (321161123).

It can be divided in two parts, 321 and 130000, that added together give a 4-th power (130321 = 19⁴).

The spelling of 321130000 in words is "three hundred twenty-one million, one hundred thirty thousand".