311441034134321 has 24 divisors (see below), whose sum is σ = 390495284953704. Its totient is φ = 246201167278080.

The previous prime is 311441034134249. The next prime is 311441034134333. The reversal of 311441034134321 is 123431430144113.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 122288763480625 + 189152270653696 = 11058425^2 + 13753264^2 .

It is not a de Polignac number, because 311441034134321 - 2³⁴ = 311423854265137 is a prime.

It is a super-3 number, since 3×311441034134321³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (311441034134221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211285670 + ... + 212754591.

It is an arithmetic number, because the mean of its divisors is an integer number (16270636873071).

Almost surely, 2^{311441034134321} is an apocalyptic number.

It is an amenable number.

311441034134321 is a deficient number, since it is larger than the sum of its proper divisors (79054250819383).

311441034134321 is a wasteful number, since it uses less digits than its factorization.

311441034134321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424041441 (or 424041434 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

Adding to 311441034134321 its reverse (123431430144113), we get a palindrome (434872464278434).

The spelling of 311441034134321 in words is "three hundred eleven trillion, four hundred forty-one billion, thirty-four million, one hundred thirty-four thousand, three hundred twenty-one".