321223003320132 has 240 divisors, whose sum is σ = 883544166389808. Its totient is φ = 101631041003520.

The previous prime is 321223003320073. The next prime is 321223003320133. The reversal of 321223003320132 is 231023300322123.

321223003320132 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 2 + 300 + 3 + 320 + 1 + 32 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 50852530161216 + 270370473158916 = 7131096^2 + 16442946^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 321223003320096 and 321223003320105.

It is not an unprimeable number, because it can be changed into a prime (321223003320133) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8973443658 + ... + 8973479454.

Almost surely, 2^{321223003320132} 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 321223003320132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441772083194904).

321223003320132 is an abundant number, since it is smaller than the sum of its proper divisors (562321163069676).

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

321223003320132 is a wasteful number, since it uses less digits than its factorization.

321223003320132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54148 (or 54137 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 321223003320132 its reverse (231023300322123), we get a palindrome (552246303642255).

The spelling of 321223003320132 in words is "three hundred twenty-one trillion, two hundred twenty-three billion, three million, three hundred twenty thousand, one hundred thirty-two".