10022000113 has 2 divisors, whose sum is σ = 10022000114. Its totient is φ = 10022000112.

The previous prime is 10022000111. The next prime is 10022000143. The reversal of 10022000113 is 31100022001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9311671009 + 710329104 = 96497^2 + 26652^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022000113 - 2¹ = 10022000111 is a prime.

Together with 10022000111, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10022000113.

It is not a weakly prime, because it can be changed into another prime (10022000111) 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, 5011000056 + 5011000057.

It is an arithmetic number, because the mean of its divisors is an integer number (5011000057).

Almost surely, 2^10022000113 is an apocalyptic number.

It is an amenable number.

10022000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022000113 is an equidigital number, since it uses as much as digits as its factorization.

10022000113 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 10022000113 its reverse (31100022001), we get a palindrome (41122022114).

The spelling of 10022000113 in words is "ten billion, twenty-two million, one hundred thirteen", and thus it is an aban number.