321320010 has 64 divisors (see below), whose sum is σ = 849087360. Its totient is φ = 77172480.

The previous prime is 321319981. The next prime is 321320023. The reversal of 321320010 is 10023123.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31504 + ... + 40436.

It is an arithmetic number, because the mean of its divisors is an integer number (13266990).

Almost surely, 2^321320010 is an apocalyptic number.

321320010 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 321320010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424543680).

321320010 is an abundant number, since it is smaller than the sum of its proper divisors (527767350).

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

321320010 is a wasteful number, since it uses less digits than its factorization.

321320010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9063.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 321320010 is about 17925.4012507391. The cubic root of 321320010 is about 684.9295823328.

Adding to 321320010 its reverse (10023123), we get a palindrome (331343133).

It can be divided in two parts, 3213 and 20010, that multiplied together give a triangular number (64292130 = T₁₁₃₃₉).

The spelling of 321320010 in words is "three hundred twenty-one million, three hundred twenty thousand, ten".