103331666133301 has 2 divisors, whose sum is σ = 103331666133302. Its totient is φ = 103331666133300.

The previous prime is 103331666133271. The next prime is 103331666133323.

103331666133301 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67033764382225 + 36297901751076 = 8187415^2 + 6024774^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 103331666133301 - 2²⁵ = 103331632578869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103331666133391) 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, 51665833066650 + 51665833066651.

It is an arithmetic number, because the mean of its divisors is an integer number (51665833066651).

Almost surely, 2^{103331666133301} is an apocalyptic number.

It is an amenable number.

103331666133301 is a deficient number, since it is larger than the sum of its proper divisors (1).

103331666133301 is an equidigital number, since it uses as much as digits as its factorization.

103331666133301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157464, while the sum is 40.

The spelling of 103331666133301 in words is "one hundred three trillion, three hundred thirty-one billion, six hundred sixty-six million, one hundred thirty-three thousand, three hundred one".