321323012010 has 1152 divisors, whose sum is σ = 1201633864704. Its totient is φ = 58490449920.

The previous prime is 321323011957. The next prime is 321323012071. The reversal of 321323012010 is 10210323123.

321323012010 is a `hidden beast` number, since 32 + 132 + 301 + 201 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1096665424 + ... + 1096665716.

It is an arithmetic number, because the mean of its divisors is an integer number (1043084952).

Almost surely, 2^321323012010 is an apocalyptic number.

321323012010 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 321323012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600816932352).

321323012010 is an abundant number, since it is smaller than the sum of its proper divisors (880310852694).

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

321323012010 is a wasteful number, since it uses less digits than its factorization.

321323012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 321323012010 its reverse (10210323123), we get a palindrome (331533335133).

The spelling of 321323012010 in words is "three hundred twenty-one billion, three hundred twenty-three million, twelve thousand, ten".