10223101223213 has 8 divisors (see below), whose sum is σ = 10250251532280. Its totient is φ = 10195959155200.

The previous prime is 10223101223173. The next prime is 10223101223227. The reversal of 10223101223213 is 31232210132201.

It can be written as a sum of positive squares in 4 ways, for example, as 5178414525769 + 5044686697444 = 2275613^2 + 2246038^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10223101223213 - 2²⁴ = 10223084445997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223101225213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 428033 + ... + 4541961.

It is an arithmetic number, because the mean of its divisors is an integer number (1281281441535).

Almost surely, 2^{10223101223213} is an apocalyptic number.

It is an amenable number.

10223101223213 is a deficient number, since it is larger than the sum of its proper divisors (27150309067).

10223101223213 is an equidigital number, since it uses as much as digits as its factorization.

10223101223213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120527.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10223101223213 its reverse (31232210132201), we get a palindrome (41455311355414).

The spelling of 10223101223213 in words is "ten trillion, two hundred twenty-three billion, one hundred one million, two hundred twenty-three thousand, two hundred thirteen".