13122010133201 has 2 divisors, whose sum is σ = 13122010133202. Its totient is φ = 13122010133200.

The previous prime is 13122010133171. The next prime is 13122010133233. The reversal of 13122010133201 is 10233101022131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9881466510400 + 3240543622801 = 3143480^2 + 1800151^2 .

It is a cyclic number.

It is not a de Polignac number, because 13122010133201 - 2⁴² = 8723963622097 is a prime.

It is not a weakly prime, because it can be changed into another prime (13122010103201) 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, 6561005066600 + 6561005066601.

It is an arithmetic number, because the mean of its divisors is an integer number (6561005066601).

Almost surely, 2^{13122010133201} is an apocalyptic number.

It is an amenable number.

13122010133201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122010133201 is an equidigital number, since it uses as much as digits as its factorization.

13122010133201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13122010133201 its reverse (10233101022131), we get a palindrome (23355111155332).

The spelling of 13122010133201 in words is "thirteen trillion, one hundred twenty-two billion, ten million, one hundred thirty-three thousand, two hundred one".