103631102413081 has 2 divisors, whose sum is σ = 103631102413082. Its totient is φ = 103631102413080.

The previous prime is 103631102413057. The next prime is 103631102413123. The reversal of 103631102413081 is 180314201136301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102874870425625 + 756231987456 = 10142725^2 + 869616^2 .

It is a cyclic number.

It is not a de Polignac number, because 103631102413081 - 2²¹ = 103631100315929 is a prime.

It is a super-3 number, since 3×103631102413081³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (103631102413001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51815551206540 + 51815551206541.

It is an arithmetic number, because the mean of its divisors is an integer number (51815551206541).

Almost surely, 2^{103631102413081} is an apocalyptic number.

It is an amenable number.

103631102413081 is a deficient number, since it is larger than the sum of its proper divisors (1).

103631102413081 is an equidigital number, since it uses as much as digits as its factorization.

103631102413081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 34.

Adding to 103631102413081 its reverse (180314201136301), we get a palindrome (283945303549382).

The spelling of 103631102413081 in words is "one hundred three trillion, six hundred thirty-one billion, one hundred two million, four hundred thirteen thousand, eighty-one".