223313333013 has 12 divisors (see below), whose sum is σ = 322569319020. Its totient is φ = 148872963456.

The previous prime is 223313332967. The next prime is 223313333051. The reversal of 223313333013 is 310333313322.

223313333013 is a `hidden beast` number, since 2 + 2 + 3 + 313 + 3 + 330 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 178089908049 + 45223424964 = 422007^2 + 212658^2 .

It is not a de Polignac number, because 223313333013 - 2²⁵ = 223279778581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223313333713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 431995 + ... + 795767.

It is an arithmetic number, because the mean of its divisors is an integer number (26880776585).

Almost surely, 2^223313333013 is an apocalyptic number.

It is an amenable number.

223313333013 is a deficient number, since it is larger than the sum of its proper divisors (99255986007).

223313333013 is a wasteful number, since it uses less digits than its factorization.

223313333013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431988 (or 431985 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 223313333013 its reverse (310333313322), we get a palindrome (533646646335).

The spelling of 223313333013 in words is "two hundred twenty-three billion, three hundred thirteen million, three hundred thirty-three thousand, thirteen".