12205404313133 has 2 divisors, whose sum is σ = 12205404313134. Its totient is φ = 12205404313132.

The previous prime is 12205404313127. The next prime is 12205404313147. The reversal of 12205404313133 is 33131340450221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11479641738244 + 725762574889 = 3388162^2 + 851917^2 .

It is a cyclic number.

It is not a de Polignac number, because 12205404313133 - 2¹² = 12205404309037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12205404313133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12205404313163) 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, 6102702156566 + 6102702156567.

It is an arithmetic number, because the mean of its divisors is an integer number (6102702156567).

Almost surely, 2^{12205404313133} is an apocalyptic number.

It is an amenable number.

12205404313133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12205404313133 is an equidigital number, since it uses as much as digits as its factorization.

12205404313133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 12205404313133 its reverse (33131340450221), we get a palindrome (45336744763354).

The spelling of 12205404313133 in words is "twelve trillion, two hundred five billion, four hundred four million, three hundred thirteen thousand, one hundred thirty-three".