10223413122321 has 72 divisors (see below), whose sum is σ = 18154271772000. Its totient is φ = 5512428432000.

The previous prime is 10223413122281. The next prime is 10223413122341. The reversal of 10223413122321 is 12322131432201.

10223413122321 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 413 + 1 + 223 + 21 = 666.

It is not a de Polignac number, because 10223413122321 - 2⁹ = 10223413121809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10223413122341) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 327396 + ... + 4533653.

It is an arithmetic number, because the mean of its divisors is an integer number (252142663500).

Almost surely, 2^{10223413122321} is an apocalyptic number.

It is an amenable number.

10223413122321 is a deficient number, since it is larger than the sum of its proper divisors (7930858649679).

10223413122321 is a wasteful number, since it uses less digits than its factorization.

10223413122321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4861339 (or 4861329 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10223413122321 its reverse (12322131432201), we get a palindrome (22545544554522).

The spelling of 10223413122321 in words is "ten trillion, two hundred twenty-three billion, four hundred thirteen million, one hundred twenty-two thousand, three hundred twenty-one".