100020113 has 2 divisors, whose sum is σ = 100020114. Its totient is φ = 100020112.

The previous prime is 100020103. The next prime is 100020121. The reversal of 100020113 is 311020001.

It is an a-pointer prime, because the next prime (100020121) can be obtained adding 100020113 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62283664 + 37736449 = 7892^2 + 6143^2 .

It is a cyclic number.

It is not a de Polignac number, because 100020113 - 2¹⁰ = 100019089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100020113.

It is not a weakly prime, because it can be changed into another prime (100020103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010056 + 50010057.

It is an arithmetic number, because the mean of its divisors is an integer number (50010057).

Almost surely, 2^100020113 is an apocalyptic number.

It is an amenable number.

100020113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100020113 is an equidigital number, since it uses as much as digits as its factorization.

100020113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 100020113 is about 10001.0055994385. The cubic root of 100020113 is about 464.1900000339.

Adding to 100020113 its reverse (311020001), we get a palindrome (411040114).

The spelling of 100020113 in words is "one hundred million, twenty thousand, one hundred thirteen".