220001000113 has 2 divisors, whose sum is σ = 220001000114. Its totient is φ = 220001000112.

The previous prime is 220001000099. The next prime is 220001000137. The reversal of 220001000113 is 311000100022.

220001000113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 155147756544 + 64853243569 = 393888^2 + 254663^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-220001000113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220001000113.

It is not a weakly prime, because it can be changed into another prime (220001000213) 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, 110000500056 + 110000500057.

It is an arithmetic number, because the mean of its divisors is an integer number (110000500057).

Almost surely, 2^220001000113 is an apocalyptic number.

It is an amenable number.

220001000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

220001000113 is an equidigital number, since it uses as much as digits as its factorization.

220001000113 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 220001000113 its reverse (311000100022), we get a palindrome (531001100135).

Subtracting 220001000113 from its reverse (311000100022), we obtain a palindrome (90999099909).

The spelling of 220001000113 in words is "two hundred twenty billion, one million, one hundred thirteen", and thus it is an aban number.