4214134314113 has 2 divisors, whose sum is σ = 4214134314114. Its totient is φ = 4214134314112.

The previous prime is 4214134314101. The next prime is 4214134314167. The reversal of 4214134314113 is 3114134314124.

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., 4053807747649 + 160326566464 = 2013407^2 + 400408^2 .

It is a cyclic number.

It is not a de Polignac number, because 4214134314113 - 2⁴ = 4214134314097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4214134314113.

It is not a weakly prime, because it can be changed into another prime (4214134314713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2107067157056 + 2107067157057.

It is an arithmetic number, because the mean of its divisors is an integer number (2107067157057).

Almost surely, 2^{4214134314113} is an apocalyptic number.

It is an amenable number.

4214134314113 is a deficient number, since it is larger than the sum of its proper divisors (1).

4214134314113 is an equidigital number, since it uses as much as digits as its factorization.

4214134314113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13824, while the sum is 32.

Adding to 4214134314113 its reverse (3114134314124), we get a palindrome (7328268628237).

The spelling of 4214134314113 in words is "four trillion, two hundred fourteen billion, one hundred thirty-four million, three hundred fourteen thousand, one hundred thirteen".