223332101033113 has 2 divisors, whose sum is σ = 223332101033114. Its totient is φ = 223332101033112.

The previous prime is 223332101033047. The next prime is 223332101033143. The reversal of 223332101033113 is 311330101233322.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222128411184729 + 1203689848384 = 14903973^2 + 1097128^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-223332101033113 is a prime.

It is a super-3 number, since 3×223332101033113³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223332101033143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111666050516556 + 111666050516557.

It is an arithmetic number, because the mean of its divisors is an integer number (111666050516557).

Almost surely, 2^{223332101033113} is an apocalyptic number.

It is an amenable number.

223332101033113 is a deficient number, since it is larger than the sum of its proper divisors (1).

223332101033113 is an equidigital number, since it uses as much as digits as its factorization.

223332101033113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 223332101033113 its reverse (311330101233322), we get a palindrome (534662202266435).

The spelling of 223332101033113 in words is "two hundred twenty-three trillion, three hundred thirty-two billion, one hundred one million, thirty-three thousand, one hundred thirteen".