10001220113 has 2 divisors, whose sum is σ = 10001220114. Its totient is φ = 10001220112.

The previous prime is 10001220091. The next prime is 10001220121. The reversal of 10001220113 is 31102210001.

10001220113 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8725801744 + 1275418369 = 93412^2 + 35713^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001220113 - 2¹⁶ = 10001154577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001220094 and 10001220103.

It is not a weakly prime, because it can be changed into another prime (10001220143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000610056 + 5000610057.

It is an arithmetic number, because the mean of its divisors is an integer number (5000610057).

Almost surely, 2^10001220113 is an apocalyptic number.

It is an amenable number.

10001220113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001220113 is an equidigital number, since it uses as much as digits as its factorization.

10001220113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10001220113 its reverse (31102210001), we get a palindrome (41103430114).

The spelling of 10001220113 in words is "ten billion, one million, two hundred twenty thousand, one hundred thirteen".