1022003113 has 2 divisors, whose sum is σ = 1022003114. Its totient is φ = 1022003112.

The previous prime is 1022003111. The next prime is 1022003197. The reversal of 1022003113 is 3113002201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 853340944 + 168662169 = 29212^2 + 12987^2 .

It is an emirp because it is prime and its reverse (3113002201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1022003113 - 2¹ = 1022003111 is a prime.

Together with 1022003111, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1022003093 and 1022003102.

It is not a weakly prime, because it can be changed into another prime (1022003111) 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, 511001556 + 511001557.

It is an arithmetic number, because the mean of its divisors is an integer number (511001557).

Almost surely, 2^1022003113 is an apocalyptic number.

It is an amenable number.

1022003113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022003113 is an equidigital number, since it uses as much as digits as its factorization.

1022003113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1022003113 is about 31968.7834144498. The cubic root of 1022003113 is about 1007.2812260724.

Adding to 1022003113 its reverse (3113002201), we get a palindrome (4135005314).

The spelling of 1022003113 in words is "one billion, twenty-two million, three thousand, one hundred thirteen".