13631633432101 has 2 divisors, whose sum is σ = 13631633432102. Its totient is φ = 13631633432100.

The previous prime is 13631633432089. The next prime is 13631633432107. The reversal of 13631633432101 is 10123433613631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11140441552900 + 2491191879201 = 3337730^2 + 1578351^2 .

It is a cyclic number.

It is not a de Polignac number, because 13631633432101 - 2²¹ = 13631631334949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13631633432107) 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, 6815816716050 + 6815816716051.

It is an arithmetic number, because the mean of its divisors is an integer number (6815816716051).

Almost surely, 2^{13631633432101} is an apocalyptic number.

It is an amenable number.

13631633432101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13631633432101 is an equidigital number, since it uses as much as digits as its factorization.

13631633432101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 37.

The spelling of 13631633432101 in words is "thirteen trillion, six hundred thirty-one billion, six hundred thirty-three million, four hundred thirty-two thousand, one hundred one".