223013133112321 has 2 divisors, whose sum is σ = 223013133112322. Its totient is φ = 223013133112320.

The previous prime is 223013133112303. The next prime is 223013133112327. The reversal of 223013133112321 is 123211331310322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124287268496400 + 98725864615921 = 11148420^2 + 9936089^2 .

It is a cyclic number.

It is not a de Polignac number, because 223013133112321 - 2⁹ = 223013133111809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 223013133112321.

It is not a weakly prime, because it can be changed into another prime (223013133112327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111506566556160 + 111506566556161.

It is an arithmetic number, because the mean of its divisors is an integer number (111506566556161).

Almost surely, 2^{223013133112321} is an apocalyptic number.

It is an amenable number.

223013133112321 is a deficient number, since it is larger than the sum of its proper divisors (1).

223013133112321 is an equidigital number, since it uses as much as digits as its factorization.

223013133112321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 223013133112321 its reverse (123211331310322), we get a palindrome (346224464422643).

The spelling of 223013133112321 in words is "two hundred twenty-three trillion, thirteen billion, one hundred thirty-three million, one hundred twelve thousand, three hundred twenty-one".