12223100101013 has 2 divisors, whose sum is σ = 12223100101014. Its totient is φ = 12223100101012.

The previous prime is 12223100100983. The next prime is 12223100101061. The reversal of 12223100101013 is 31010100132221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9132616968484 + 3090483132529 = 3022022^2 + 1757977^2 .

It is a cyclic number.

It is not a de Polignac number, because 12223100101013 - 2³⁴ = 12205920231829 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12223100100982 and 12223100101000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12223100101073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111550050506 + 6111550050507.

It is an arithmetic number, because the mean of its divisors is an integer number (6111550050507).

Almost surely, 2^{12223100101013} is an apocalyptic number.

It is an amenable number.

12223100101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12223100101013 is an equidigital number, since it uses as much as digits as its factorization.

12223100101013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12223100101013 its reverse (31010100132221), we get a palindrome (43233200233234).

The spelling of 12223100101013 in words is "twelve trillion, two hundred twenty-three billion, one hundred million, one hundred one thousand, thirteen".