10110220313 has 2 divisors, whose sum is σ = 10110220314. Its totient is φ = 10110220312.

The previous prime is 10110220279. The next prime is 10110220333. The reversal of 10110220313 is 31302201101.

10110220313 is digitally balanced in base 2, 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., 8995194649 + 1115025664 = 94843^2 + 33392^2 .

It is an emirp because it is prime and its reverse (31302201101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10110220313 - 2¹⁰ = 10110219289 is a prime.

It is not a weakly prime, because it can be changed into another prime (10110220333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055110156 + 5055110157.

It is an arithmetic number, because the mean of its divisors is an integer number (5055110157).

Almost surely, 2^10110220313 is an apocalyptic number.

It is an amenable number.

10110220313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110220313 is an equidigital number, since it uses as much as digits as its factorization.

10110220313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10110220313 its reverse (31302201101), we get a palindrome (41412421414).

The spelling of 10110220313 in words is "ten billion, one hundred ten million, two hundred twenty thousand, three hundred thirteen".