223221232013 has 16 divisors (see below), whose sum is σ = 246520940400. Its totient is φ = 200807915520.

The previous prime is 223221232007. The next prime is 223221232021. The reversal of 223221232013 is 310232122322.

It can be written as a sum of positive squares in 8 ways, for example, as 95912851204 + 127308380809 = 309698^2 + 356803^2 .

It is a cyclic number.

It is not a de Polignac number, because 223221232013 - 2¹⁰ = 223221230989 is a prime.

It is a super-3 number, since 3×223221232013³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 223221232013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223221232063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269753 + ... + 720561.

It is an arithmetic number, because the mean of its divisors is an integer number (15407558775).

Almost surely, 2^223221232013 is an apocalyptic number.

It is an amenable number.

223221232013 is a deficient number, since it is larger than the sum of its proper divisors (23299708387).

223221232013 is a wasteful number, since it uses less digits than its factorization.

223221232013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451792.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 223221232013 its reverse (310232122322), we get a palindrome (533453354335).

The spelling of 223221232013 in words is "two hundred twenty-three billion, two hundred twenty-one million, two hundred thirty-two thousand, thirteen".