103435034536081 has 2 divisors, whose sum is σ = 103435034536082. Its totient is φ = 103435034536080.

The previous prime is 103435034536079. The next prime is 103435034536117. The reversal of 103435034536081 is 180635430534301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99273006125056 + 4162028411025 = 9963584^2 + 2040105^2 .

It is a cyclic number.

It is not a de Polignac number, because 103435034536081 - 2¹ = 103435034536079 is a prime.

It is a super-2 number, since 2×103435034536081² (a number of 29 digits) contains 22 as substring.

Together with 103435034536079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (103435034536181) 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, 51717517268040 + 51717517268041.

It is an arithmetic number, because the mean of its divisors is an integer number (51717517268041).

Almost surely, 2^{103435034536081} is an apocalyptic number.

It is an amenable number.

103435034536081 is a deficient number, since it is larger than the sum of its proper divisors (1).

103435034536081 is an equidigital number, since it uses as much as digits as its factorization.

103435034536081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1555200, while the sum is 46.

The spelling of 103435034536081 in words is "one hundred three trillion, four hundred thirty-five billion, thirty-four million, five hundred thirty-six thousand, eighty-one".