1000002020113 has 2 divisors, whose sum is σ = 1000002020114. Its totient is φ = 1000002020112.

The previous prime is 1000002020071. The next prime is 1000002020153. The reversal of 1000002020113 is 3110202000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 689477801104 + 310524219009 = 830348^2 + 557247^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000002020113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000002020113.

It is not a weakly prime, because it can be changed into another prime (1000002020153) 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, 500001010056 + 500001010057.

It is an arithmetic number, because the mean of its divisors is an integer number (500001010057).

Almost surely, 2^{1000002020113} is an apocalyptic number.

It is an amenable number.

1000002020113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000002020113 is an equidigital number, since it uses as much as digits as its factorization.

1000002020113 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.

Adding to 1000002020113 its reverse (3110202000001), we get a palindrome (4110204020114).

The spelling of 1000002020113 in words is "one trillion, two million, twenty thousand, one hundred thirteen".