334131212131441 has 2 divisors, whose sum is σ = 334131212131442. Its totient is φ = 334131212131440.

The previous prime is 334131212131439. The next prime is 334131212131499. The reversal of 334131212131441 is 144131212131433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 334124034483600 + 7177647841 = 18279060^2 + 84721^2 .

It is a cyclic number.

It is not a de Polignac number, because 334131212131441 - 2¹ = 334131212131439 is a prime.

It is a super-2 number, since 2×334131212131441² (a number of 30 digits) contains 22 as substring.

Together with 334131212131439, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 334131212131397 and 334131212131406.

It is not a weakly prime, because it can be changed into another prime (334131212131741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167065606065720 + 167065606065721.

It is an arithmetic number, because the mean of its divisors is an integer number (167065606065721).

Almost surely, 2^{334131212131441} is an apocalyptic number.

It is an amenable number.

334131212131441 is a deficient number, since it is larger than the sum of its proper divisors (1).

334131212131441 is an equidigital number, since it uses as much as digits as its factorization.

334131212131441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20736, while the sum is 34.

Adding to 334131212131441 its reverse (144131212131433), we get a palindrome (478262424262874).

The spelling of 334131212131441 in words is "three hundred thirty-four trillion, one hundred thirty-one billion, two hundred twelve million, one hundred thirty-one thousand, four hundred forty-one".