334131212431441 has 2 divisors, whose sum is σ = 334131212431442. Its totient is φ = 334131212431440.

The previous prime is 334131212431363. The next prime is 334131212431453. The reversal of 334131212431441 is 144134212131433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309558372021441 + 24572840410000 = 17594271^2 + 4957100^2 .

It is an emirp because it is prime and its reverse (144134212131433) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 334131212431441 - 2⁹ = 334131212430929 is a prime.

It is a super-2 number, since 2×334131212431441² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334131212431441.

It is not a weakly prime, because it can be changed into another prime (334131212131441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167065606215720 + 167065606215721.

It is an arithmetic number, because the mean of its divisors is an integer number (167065606215721).

Almost surely, 2^{334131212431441} is an apocalyptic number.

It is an amenable number.

334131212431441 is a deficient number, since it is larger than the sum of its proper divisors (1).

334131212431441 is an equidigital number, since it uses as much as digits as its factorization.

334131212431441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 37.

Adding to 334131212431441 its reverse (144134212131433), we get a palindrome (478265424562874).

The spelling of 334131212431441 in words is "three hundred thirty-four trillion, one hundred thirty-one billion, two hundred twelve million, four hundred thirty-one thousand, four hundred forty-one".