311442420321 has 12 divisors (see below), whose sum is σ = 452192163748. Its totient is φ = 206552484864.

The previous prime is 311442420319. The next prime is 311442420343. The reversal of 311442420321 is 123024244113.

311442420321 is a `hidden beast` number, since 3 + 1 + 14 + 424 + 203 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94971830625 + 216470589696 = 308175^2 + 465264^2 .

It is not a de Polignac number, because 311442420321 - 2¹ = 311442420319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311442420361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89647780 + ... + 89651253.

Almost surely, 2^311442420321 is an apocalyptic number.

It is an amenable number.

311442420321 is a deficient number, since it is larger than the sum of its proper divisors (140749743427).

311442420321 is a wasteful number, since it uses less digits than its factorization.

311442420321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179299232 (or 179299229 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 311442420321 its reverse (123024244113), we get a palindrome (434466664434).

The spelling of 311442420321 in words is "three hundred eleven billion, four hundred forty-two million, four hundred twenty thousand, three hundred twenty-one".