321332130 has 256 divisors, whose sum is σ = 1058780160. Its totient is φ = 67682304.

The previous prime is 321332101. The next prime is 321332131. The reversal of 321332130 is 31233123.

321332130 is a `hidden beast` number, since 321 + 332 + 13 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (321332131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2345422 + ... + 2345558.

It is an arithmetic number, because the mean of its divisors is an integer number (4135860).

Almost surely, 2^321332130 is an apocalyptic number.

321332130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 321332130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529390080).

321332130 is an abundant number, since it is smaller than the sum of its proper divisors (737448030).

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

321332130 is a wasteful number, since it uses less digits than its factorization.

321332130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 321332130 is about 17925.7393152974. The cubic root of 321332130 is about 684.9381939369.

Adding to 321332130 its reverse (31233123), we get a palindrome (352565253).

The spelling of 321332130 in words is "three hundred twenty-one million, three hundred thirty-two thousand, one hundred thirty".