10223132210431 has 16 divisors (see below), whose sum is σ = 12060611061760. Its totient is φ = 8479917851040.

The previous prime is 10223132210393. The next prime is 10223132210441. The reversal of 10223132210431 is 13401223132201.

It is a cyclic number.

It is not a de Polignac number, because 10223132210431 - 2⁷ = 10223132210303 is a prime.

It is a super-3 number, since 3×10223132210431³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10223132210396 and 10223132210405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223132210441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22564825 + ... + 23013421.

It is an arithmetic number, because the mean of its divisors is an integer number (753788191360).

Almost surely, 2^{10223132210431} is an apocalyptic number.

10223132210431 is a deficient number, since it is larger than the sum of its proper divisors (1837478851329).

10223132210431 is a wasteful number, since it uses less digits than its factorization.

10223132210431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553654.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10223132210431 its reverse (13401223132201), we get a palindrome (23624355342632).

The spelling of 10223132210431 in words is "ten trillion, two hundred twenty-three billion, one hundred thirty-two million, two hundred ten thousand, four hundred thirty-one".