122233123013 has 2 divisors, whose sum is σ = 122233123014. Its totient is φ = 122233123012.

The previous prime is 122233122941. The next prime is 122233123021. The reversal of 122233123013 is 310321332221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99160120609 + 23073002404 = 314897^2 + 151898^2 .

It is a cyclic number.

It is not a de Polignac number, because 122233123013 - 2¹⁶ = 122233057477 is a prime.

It is a super-2 number, since 2×122233123013² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122233123013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122233123913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61116561506 + 61116561507.

It is an arithmetic number, because the mean of its divisors is an integer number (61116561507).

Almost surely, 2^122233123013 is an apocalyptic number.

It is an amenable number.

122233123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122233123013 is an equidigital number, since it uses as much as digits as its factorization.

122233123013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 122233123013 its reverse (310321332221), we get a palindrome (432554455234).

The spelling of 122233123013 in words is "one hundred twenty-two billion, two hundred thirty-three million, one hundred twenty-three thousand, thirteen".