334131212431337 has 2 divisors, whose sum is σ = 334131212431338. Its totient is φ = 334131212431336.

The previous prime is 334131212431267. The next prime is 334131212431343. The reversal of 334131212431337 is 733134212131433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 322563431922601 + 11567780508736 = 17960051^2 + 3401144^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-334131212431337 is a prime.

It is a super-2 number, since 2×334131212431337² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334131212431294 and 334131212431303.

It is not a weakly prime, because it can be changed into another prime (334131212431537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167065606215668 + 167065606215669.

It is an arithmetic number, because the mean of its divisors is an integer number (167065606215669).

Almost surely, 2^{334131212431337} is an apocalyptic number.

It is an amenable number.

334131212431337 is a deficient number, since it is larger than the sum of its proper divisors (1).

334131212431337 is an equidigital number, since it uses as much as digits as its factorization.

334131212431337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 326592, while the sum is 41.

The spelling of 334131212431337 in words is "three hundred thirty-four trillion, one hundred thirty-one billion, two hundred twelve million, four hundred thirty-one thousand, three hundred thirty-seven".