321213141144342 has 128 divisors (see below), whose sum is σ = 726522277248000. Its totient is φ = 105183264614400.

The previous prime is 321213141144319. The next prime is 321213141144409. The reversal of 321213141144342 is 243441141312123.

321213141144342 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 131 + 41 + 1 + 443 + 42 = 666.

It is a super-2 number, since 2×321213141144342² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321213141144297 and 321213141144306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398541159 + ... + 399346317.

It is an arithmetic number, because the mean of its divisors is an integer number (5675955291000).

Almost surely, 2^{321213141144342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321213141144342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363261138624000).

321213141144342 is an abundant number, since it is smaller than the sum of its proper divisors (405309136103658).

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

321213141144342 is a wasteful number, since it uses less digits than its factorization.

321213141144342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805843 (or 805837 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 321213141144342 its reverse (243441141312123), we get a palindrome (564654282456465).

The spelling of 321213141144342 in words is "three hundred twenty-one trillion, two hundred thirteen billion, one hundred forty-one million, one hundred forty-four thousand, three hundred forty-two".