10223312012233 has 16 divisors (see below), whose sum is σ = 10313751127680. Its totient is φ = 10133231746176.

The previous prime is 10223312012189. The next prime is 10223312012269. The reversal of 10223312012233 is 33221021332201.

It is a cyclic number.

It is not a de Polignac number, because 10223312012233 - 2¹³ = 10223312004041 is a prime.

It is a super-2 number, since 2×10223312012233² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10223312012198 and 10223312012207.

It is not an unprimeable number, because it can be changed into a prime (10223312012533) 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 15 ways as a sum of consecutive naturals, for example, 384365091 + ... + 384391687.

It is an arithmetic number, because the mean of its divisors is an integer number (644609445480).

Almost surely, 2^{10223312012233} is an apocalyptic number.

It is an amenable number.

10223312012233 is a deficient number, since it is larger than the sum of its proper divisors (90439115447).

10223312012233 is a wasteful number, since it uses less digits than its factorization.

10223312012233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33216.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 10223312012233 its reverse (33221021332201), we get a palindrome (43444333344434).

It can be divided in two parts, 1022331 and 2012233, that added together give a square (3034564 = 1742²).

The spelling of 10223312012233 in words is "ten trillion, two hundred twenty-three billion, three hundred twelve million, twelve thousand, two hundred thirty-three".