13201100032181 has 2 divisors, whose sum is σ = 13201100032182. Its totient is φ = 13201100032180.

The previous prime is 13201100032123. The next prime is 13201100032261. The reversal of 13201100032181 is 18123000110231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8252744272081 + 4948355760100 = 2872759^2 + 2224490^2 .

It is a cyclic number.

It is not a de Polignac number, because 13201100032181 - 2¹⁴ = 13201100015797 is a prime.

It is a super-2 number, since 2×13201100032181² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13201100032481) 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, 6600550016090 + 6600550016091.

It is an arithmetic number, because the mean of its divisors is an integer number (6600550016091).

Almost surely, 2^{13201100032181} is an apocalyptic number.

It is an amenable number.

13201100032181 is a deficient number, since it is larger than the sum of its proper divisors (1).

13201100032181 is an equidigital number, since it uses as much as digits as its factorization.

13201100032181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 13201100032181 in words is "thirteen trillion, two hundred one billion, one hundred million, thirty-two thousand, one hundred eighty-one".