1020144113 has 2 divisors, whose sum is σ = 1020144114. Its totient is φ = 1020144112.

The previous prime is 1020144079. The next prime is 1020144127. The reversal of 1020144113 is 3114410201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 630160609 + 389983504 = 25103^2 + 19748^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020144113 - 2²⁰ = 1019095537 is a prime.

It is a super-2 number, since 2×1020144113² = 2081388022577113538, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020144091 and 1020144100.

It is not a weakly prime, because it can be changed into another prime (1020144193) 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, 510072056 + 510072057.

It is an arithmetic number, because the mean of its divisors is an integer number (510072057).

Almost surely, 2^1020144113 is an apocalyptic number.

It is an amenable number.

1020144113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020144113 is an equidigital number, since it uses as much as digits as its factorization.

1020144113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1020144113 is about 31939.6949421875. The cubic root of 1020144113 is about 1006.6701149807.

Adding to 1020144113 its reverse (3114410201), we get a palindrome (4134554314).

The spelling of 1020144113 in words is "one billion, twenty million, one hundred forty-four thousand, one hundred thirteen".