214314412034137 has 2 divisors, whose sum is σ = 214314412034138. Its totient is φ = 214314412034136.

The previous prime is 214314412033949. The next prime is 214314412034141. The reversal of 214314412034137 is 731430214413412.

214314412034137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143821999041561 + 70492412992576 = 11992581^2 + 8395976^2 .

It is a cyclic number.

It is not a de Polignac number, because 214314412034137 - 2¹¹ = 214314412032089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214314412034137.

It is not a weakly prime, because it can be changed into another prime (214314412034197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107157206017068 + 107157206017069.

It is an arithmetic number, because the mean of its divisors is an integer number (107157206017069).

Almost surely, 2^{214314412034137} is an apocalyptic number.

It is an amenable number.

214314412034137 is a deficient number, since it is larger than the sum of its proper divisors (1).

214314412034137 is an equidigital number, since it uses as much as digits as its factorization.

214314412034137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 193536, while the sum is 40.

Adding to 214314412034137 its reverse (731430214413412), we get a palindrome (945744626447549).

The spelling of 214314412034137 in words is "two hundred fourteen trillion, three hundred fourteen billion, four hundred twelve million, thirty-four thousand, one hundred thirty-seven".