10122210313 has 2 divisors, whose sum is σ = 10122210314. Its totient is φ = 10122210312.

The previous prime is 10122210269. The next prime is 10122210317. The reversal of 10122210313 is 31301222101.

10122210313 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., 8994056569 + 1128153744 = 94837^2 + 33588^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122210313 - 2¹⁷ = 10122079241 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122210317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061105156 + 5061105157.

It is an arithmetic number, because the mean of its divisors is an integer number (5061105157).

Almost surely, 2^10122210313 is an apocalyptic number.

It is an amenable number.

10122210313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122210313 is an equidigital number, since it uses as much as digits as its factorization.

10122210313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10122210313 its reverse (31301222101), we get a palindrome (41423432414).

The spelling of 10122210313 in words is "ten billion, one hundred twenty-two million, two hundred ten thousand, three hundred thirteen".