223013230000013 has 2 divisors, whose sum is σ = 223013230000014. Its totient is φ = 223013230000012.

The previous prime is 223013229999971. The next prime is 223013230000031. The reversal of 223013230000013 is 310000032310322.

223013230000013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (223013230000031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164577647603524 + 58435582396489 = 12828782^2 + 7644317^2 .

It is a cyclic number.

It is not a de Polignac number, because 223013230000013 - 2²² = 223013225805709 is a prime.

It is a super-3 number, since 3×223013230000013³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223013230000013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223013230000063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111506615000006 + 111506615000007.

It is an arithmetic number, because the mean of its divisors is an integer number (111506615000007).

Almost surely, 2^{223013230000013} is an apocalyptic number.

It is an amenable number.

223013230000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

223013230000013 is an equidigital number, since it uses as much as digits as its factorization.

223013230000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 223013230000013 its reverse (310000032310322), we get a palindrome (533013262310335).

The spelling of 223013230000013 in words is "two hundred twenty-three trillion, thirteen billion, two hundred thirty million, thirteen", and thus it is an aban number.