2042120413 has 2 divisors, whose sum is σ = 2042120414. Its totient is φ = 2042120412.

The previous prime is 2042120411. The next prime is 2042120459. The reversal of 2042120413 is 3140212402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1953816804 + 88303609 = 44202^2 + 9397^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042120413 - 2¹ = 2042120411 is a prime.

Together with 2042120411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2042120411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1021060206 + 1021060207.

It is an arithmetic number, because the mean of its divisors is an integer number (1021060207).

Almost surely, 2^2042120413 is an apocalyptic number.

It is an amenable number.

2042120413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042120413 is an equidigital number, since it uses as much as digits as its factorization.

2042120413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2042120413 is about 45189.8264325058. The cubic root of 2042120413 is about 1268.7044081816.

Adding to 2042120413 its reverse (3140212402), we get a palindrome (5182332815).

The spelling of 2042120413 in words is "two billion, forty-two million, one hundred twenty thousand, four hundred thirteen".