214113434300137 has 2 divisors, whose sum is σ = 214113434300138. Its totient is φ = 214113434300136.

The previous prime is 214113434300039. The next prime is 214113434300189. The reversal of 214113434300137 is 731003434311412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212629591166976 + 1483843133161 = 14581824^2 + 1218131^2 .

It is a cyclic number.

It is not a de Polignac number, because 214113434300137 - 2⁷ = 214113434300009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214113434300096 and 214113434300105.

It is not a weakly prime, because it can be changed into another prime (214113434303137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107056717150068 + 107056717150069.

It is an arithmetic number, because the mean of its divisors is an integer number (107056717150069).

Almost surely, 2^{214113434300137} is an apocalyptic number.

It is an amenable number.

214113434300137 is a deficient number, since it is larger than the sum of its proper divisors (1).

214113434300137 is an equidigital number, since it uses as much as digits as its factorization.

214113434300137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 37.

Adding to 214113434300137 its reverse (731003434311412), we get a palindrome (945116868611549).

The spelling of 214113434300137 in words is "two hundred fourteen trillion, one hundred thirteen billion, four hundred thirty-four million, three hundred thousand, one hundred thirty-seven".