4142122013 has 2 divisors, whose sum is σ = 4142122014. Its totient is φ = 4142122012.

The previous prime is 4142121983. The next prime is 4142122043. The reversal of 4142122013 is 3102212414.

It is a balanced prime because it is at equal distance from previous prime (4142121983) and next prime (4142122043).

It can be written as a sum of positive squares in only one way, i.e., 4139892964 + 2229049 = 64342^2 + 1493^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4142122013 is a prime.

It is a super-3 number, since 3×4142122013³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4142122043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2071061006 + 2071061007.

It is an arithmetic number, because the mean of its divisors is an integer number (2071061007).

Almost surely, 2^4142122013 is an apocalyptic number.

It is an amenable number.

4142122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4142122013 is an equidigital number, since it uses as much as digits as its factorization.

4142122013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4142122013 is about 64359.3195504738. The cubic root of 4142122013 is about 1605.9830693558.

Adding to 4142122013 its reverse (3102212414), we get a palindrome (7244334427).

The spelling of 4142122013 in words is "four billion, one hundred forty-two million, one hundred twenty-two thousand, thirteen".