22321013312305 has 32 divisors (see below), whose sum is σ = 27312389390880. Its totient is φ = 17508950323200.

The previous prime is 22321013312261. The next prime is 22321013312321. The reversal of 22321013312305 is 50321331012322.

It can be written as a sum of positive squares in 16 ways, for example, as 5327524108449 + 16993489203856 = 2308143^2 + 4122316^2 .

It is not a de Polignac number, because 22321013312305 - 2¹⁹ = 22321012788017 is a prime.

It is a super-3 number, since 3×22321013312305³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 109823337 + ... + 110026393.

It is an arithmetic number, because the mean of its divisors is an integer number (853512168465).

Almost surely, 2^{22321013312305} is an apocalyptic number.

It is an amenable number.

22321013312305 is a deficient number, since it is larger than the sum of its proper divisors (4991376078575).

22321013312305 is a wasteful number, since it uses less digits than its factorization.

22321013312305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205269.

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 22321013312305 its reverse (50321331012322), we get a palindrome (72642344324627).

The spelling of 22321013312305 in words is "twenty-two trillion, three hundred twenty-one billion, thirteen million, three hundred twelve thousand, three hundred five".