1000202113 has 2 divisors, whose sum is σ = 1000202114. Its totient is φ = 1000202112.

The previous prime is 1000202107. The next prime is 1000202149. The reversal of 1000202113 is 3112020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 761097744 + 239104369 = 27588^2 + 15463^2 .

It is an emirp because it is prime and its reverse (3112020001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000202113 - 2¹³ = 1000193921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000202113.

It is not a weakly prime, because it can be changed into another prime (1000202153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500101056 + 500101057.

It is an arithmetic number, because the mean of its divisors is an integer number (500101057).

Almost surely, 2^1000202113 is an apocalyptic number.

It is an amenable number.

1000202113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000202113 is an equidigital number, since it uses as much as digits as its factorization.

1000202113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1000202113 is about 31625.9721273513. The cubic root of 1000202113 is about 1000.0673664617.

Adding to 1000202113 its reverse (3112020001), we get a palindrome (4112222114).

The spelling of 1000202113 in words is "one billion, two hundred two thousand, one hundred thirteen".