214234323040513 has 2 divisors, whose sum is σ = 214234323040514. Its totient is φ = 214234323040512.

The previous prime is 214234323040433. The next prime is 214234323040571. The reversal of 214234323040513 is 315040323432412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118007875838449 + 96226447202064 = 10863143^2 + 9809508^2 .

It is a cyclic number.

It is not a de Polignac number, because 214234323040513 - 2¹³ = 214234323032321 is a prime.

It is not a weakly prime, because it can be changed into another prime (214234323040013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107117161520256 + 107117161520257.

It is an arithmetic number, because the mean of its divisors is an integer number (107117161520257).

Almost surely, 2^{214234323040513} is an apocalyptic number.

It is an amenable number.

214234323040513 is a deficient number, since it is larger than the sum of its proper divisors (1).

214234323040513 is an equidigital number, since it uses as much as digits as its factorization.

214234323040513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 37.

Adding to 214234323040513 its reverse (315040323432412), we get a palindrome (529274646472925).

The spelling of 214234323040513 in words is "two hundred fourteen trillion, two hundred thirty-four billion, three hundred twenty-three million, forty thousand, five hundred thirteen".