10223120134305 has 24 divisors (see below), whose sum is σ = 19083157585128. Its totient is φ = 5032920681216.

The previous prime is 10223120134259. The next prime is 10223120134343. The reversal of 10223120134305 is 50343102132201.

10223120134305 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 312 + 0 + 1 + 343 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1871719499664 + 8351400634641 = 1368108^2 + 2889879^2 .

It is not a de Polignac number, because 10223120134305 - 2¹⁶ = 10223120068769 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 8737708932 + ... + 8737710101.

It is an arithmetic number, because the mean of its divisors is an integer number (795131566047).

Almost surely, 2^{10223120134305} is an apocalyptic number.

10223120134305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10223120134305 is a deficient number, since it is larger than the sum of its proper divisors (8860037450823).

10223120134305 is a wasteful number, since it uses less digits than its factorization.

10223120134305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17475419057 (or 17475419054 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10223120134305 its reverse (50343102132201), we get a palindrome (60566222266506).

The spelling of 10223120134305 in words is "ten trillion, two hundred twenty-three billion, one hundred twenty million, one hundred thirty-four thousand, three hundred five".