22311013313 has 2 divisors, whose sum is σ = 22311013314. Its totient is φ = 22311013312.

The previous prime is 22311013297. The next prime is 22311013331. The reversal of 22311013313 is 31331011322.

Together with next prime (22311013331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13076379904 + 9234633409 = 114352^2 + 96097^2 .

It is a cyclic number.

It is not a de Polignac number, because 22311013313 - 2⁴ = 22311013297 is a prime.

It is a super-3 number, since 3×22311013313³ (a number of 32 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (22311013343) 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, 11155506656 + 11155506657.

It is an arithmetic number, because the mean of its divisors is an integer number (11155506657).

Almost surely, 2^22311013313 is an apocalyptic number.

It is an amenable number.

22311013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

22311013313 is an equidigital number, since it uses as much as digits as its factorization.

22311013313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 22311013313 its reverse (31331011322), we get a palindrome (53642024635).

The spelling of 22311013313 in words is "twenty-two billion, three hundred eleven million, thirteen thousand, three hundred thirteen".