10220112220013 has 2 divisors, whose sum is σ = 10220112220014. Its totient is φ = 10220112220012.

The previous prime is 10220112220007. The next prime is 10220112220033. The reversal of 10220112220013 is 31002221102201.

10220112220013 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., 9927402005284 + 292710214729 = 3150778^2 + 541027^2 .

It is a cyclic number.

It is not a de Polignac number, because 10220112220013 - 2²² = 10220108025709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10220112219973 and 10220112220000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10220112220033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110056110006 + 5110056110007.

It is an arithmetic number, because the mean of its divisors is an integer number (5110056110007).

Almost surely, 2^{10220112220013} is an apocalyptic number.

It is an amenable number.

10220112220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220112220013 is an equidigital number, since it uses as much as digits as its factorization.

10220112220013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10220112220013 its reverse (31002221102201), we get a palindrome (41222333322214).

The spelling of 10220112220013 in words is "ten trillion, two hundred twenty billion, one hundred twelve million, two hundred twenty thousand, thirteen".