1221322123013 has 2 divisors, whose sum is σ = 1221322123014. Its totient is φ = 1221322123012.

The previous prime is 1221322122989. The next prime is 1221322123027. The reversal of 1221322123013 is 3103212231221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 904975495204 + 316346627809 = 951302^2 + 562447^2 .

It is an emirp because it is prime and its reverse (3103212231221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1221322123013 - 2¹⁰ = 1221322121989 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1221322123013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1221322120013) 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, 610661061506 + 610661061507.

It is an arithmetic number, because the mean of its divisors is an integer number (610661061507).

Almost surely, 2^{1221322123013} is an apocalyptic number.

It is an amenable number.

1221322123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221322123013 is an equidigital number, since it uses as much as digits as its factorization.

1221322123013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1221322123013 its reverse (3103212231221), we get a palindrome (4324534354234).

The spelling of 1221322123013 in words is "one trillion, two hundred twenty-one billion, three hundred twenty-two million, one hundred twenty-three thousand, thirteen".