10223132313321 has 48 divisors (see below), whose sum is σ = 16652696022144. Its totient is φ = 6241149045504.

The previous prime is 10223132313313. The next prime is 10223132313323. The reversal of 10223132313321 is 12331323132201.

10223132313321 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 1 + 323 + 1 + 332 + 1 = 666.

It is not a de Polignac number, because 10223132313321 - 2³ = 10223132313313 is a prime.

It is a super-3 number, since 3×10223132313321³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10223132313323) 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 in 47 ways as a sum of consecutive naturals, for example, 33289525 + ... + 33595218.

It is an arithmetic number, because the mean of its divisors is an integer number (346931167128).

Almost surely, 2^{10223132313321} is an apocalyptic number.

It is an amenable number.

10223132313321 is a deficient number, since it is larger than the sum of its proper divisors (6429563708823).

10223132313321 is an equidigital number, since it uses as much as digits as its factorization.

10223132313321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66884812 (or 66884800 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10223132313321 its reverse (12331323132201), we get a palindrome (22554455445522).

The spelling of 10223132313321 in words is "ten trillion, two hundred twenty-three billion, one hundred thirty-two million, three hundred thirteen thousand, three hundred twenty-one".