223211013313 has 8 divisors (see below), whose sum is σ = 224363239848. Its totient is φ = 222058980864.

The previous prime is 223211013307. The next prime is 223211013317. The reversal of 223211013313 is 313310112322.

223211013313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 84165552769 + 139045460544 = 290113^2 + 372888^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-223211013313 is a prime.

It is a super-3 number, since 3×223211013313³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223211013317) 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 7 ways as a sum of consecutive naturals, for example, 2640145 + ... + 2723377.

It is an arithmetic number, because the mean of its divisors is an integer number (28045404981).

Almost surely, 2^223211013313 is an apocalyptic number.

It is an amenable number.

223211013313 is a deficient number, since it is larger than the sum of its proper divisors (1152226535).

223211013313 is a wasteful number, since it uses less digits than its factorization.

223211013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97043.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 223211013313 its reverse (313310112322), we get a palindrome (536521125635).

Subtracting 223211013313 from its reverse (313310112322), we obtain a palindrome (90099099009).

The spelling of 223211013313 in words is "two hundred twenty-three billion, two hundred eleven million, thirteen thousand, three hundred thirteen".