13332022324304 has 60 divisors (see below), whose sum is σ = 27448660165500. Its totient is φ = 6271828537344.

The previous prime is 13332022324273. The next prime is 13332022324319. The reversal of 13332022324304 is 40342322023331.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 471765669904 + 12860256654400 = 686852^2 + 3586120^2 .

It is a super-3 number, since 3×13332022324304³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13625762 + ... + 14571390.

It is an arithmetic number, because the mean of its divisors is an integer number (457477669425).

Almost surely, 2^{13332022324304} 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 13332022324304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13724330082750).

13332022324304 is an abundant number, since it is smaller than the sum of its proper divisors (14116637841196).

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

13332022324304 is a wasteful number, since it uses less digits than its factorization.

13332022324304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948720 (or 948697 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 13332022324304 its reverse (40342322023331), we get a palindrome (53674344347635).

The spelling of 13332022324304 in words is "thirteen trillion, three hundred thirty-two billion, twenty-two million, three hundred twenty-four thousand, three hundred four".