22312122113 has 2 divisors, whose sum is σ = 22312122114. Its totient is φ = 22312122112.

The previous prime is 22312122103. The next prime is 22312122121. The reversal of 22312122113 is 31122121322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11805257104 + 10506865009 = 108652^2 + 102503^2 .

It is a cyclic number.

It is not a de Polignac number, because 22312122113 - 2³⁴ = 5132252929 is a prime.

It is a super-3 number, since 3×22312122113³ (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (22312122103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11156061056 + 11156061057.

It is an arithmetic number, because the mean of its divisors is an integer number (11156061057).

Almost surely, 2^22312122113 is an apocalyptic number.

It is an amenable number.

22312122113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22312122113 is an equidigital number, since it uses as much as digits as its factorization.

22312122113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 20.

Adding to 22312122113 its reverse (31122121322), we get a palindrome (53434243435).

The spelling of 22312122113 in words is "twenty-two billion, three hundred twelve million, one hundred twenty-two thousand, one hundred thirteen".