4313214123137 has 2 divisors, whose sum is σ = 4313214123138. Its totient is φ = 4313214123136.

The previous prime is 4313214123121. The next prime is 4313214123193. The reversal of 4313214123137 is 7313214123134.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3085780576321 + 1227433546816 = 1756639^2 + 1107896^2 .

It is a cyclic number.

It is not a de Polignac number, because 4313214123137 - 2⁴ = 4313214123121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4313214123097 and 4313214123106.

It is not a weakly prime, because it can be changed into another prime (4313214123037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2156607061568 + 2156607061569.

It is an arithmetic number, because the mean of its divisors is an integer number (2156607061569).

Almost surely, 2^{4313214123137} is an apocalyptic number.

It is an amenable number.

4313214123137 is a deficient number, since it is larger than the sum of its proper divisors (1).

4313214123137 is an equidigital number, since it uses as much as digits as its factorization.

4313214123137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 35.

The spelling of 4313214123137 in words is "four trillion, three hundred thirteen billion, two hundred fourteen million, one hundred twenty-three thousand, one hundred thirty-seven".