10022032313 has 2 divisors, whose sum is σ = 10022032314. Its totient is φ = 10022032312.

The previous prime is 10022032211. The next prime is 10022032331. The reversal of 10022032313 is 31323022001.

10022032313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (10022032331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6546104464 + 3475927849 = 80908^2 + 58957^2 .

It is an emirp because it is prime and its reverse (31323022001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10022032313 - 2¹⁸ = 10021770169 is a prime.

It is a super-2 number, since 2×10022032313² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022032291 and 10022032300.

It is not a weakly prime, because it can be changed into another prime (10022032513) 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, 5011016156 + 5011016157.

It is an arithmetic number, because the mean of its divisors is an integer number (5011016157).

Almost surely, 2^10022032313 is an apocalyptic number.

It is an amenable number.

10022032313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022032313 is an equidigital number, since it uses as much as digits as its factorization.

10022032313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10022032313 its reverse (31323022001), we get a palindrome (41345054314).

The spelling of 10022032313 in words is "ten billion, twenty-two million, thirty-two thousand, three hundred thirteen".