103561336133 has 2 divisors, whose sum is σ = 103561336134. Its totient is φ = 103561336132.

The previous prime is 103561336093. The next prime is 103561336139. The reversal of 103561336133 is 331633165301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95890554244 + 7670781889 = 309662^2 + 87583^2 .

It is a cyclic number.

It is not a de Polignac number, because 103561336133 - 2²² = 103557141829 is a prime.

It is a super-3 number, since 3×103561336133³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 103561336093 and 103561336102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103561336139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51780668066 + 51780668067.

It is an arithmetic number, because the mean of its divisors is an integer number (51780668067).

Almost surely, 2^103561336133 is an apocalyptic number.

It is an amenable number.

103561336133 is a deficient number, since it is larger than the sum of its proper divisors (1).

103561336133 is an equidigital number, since it uses as much as digits as its factorization.

103561336133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43740, while the sum is 35.

The spelling of 103561336133 in words is "one hundred three billion, five hundred sixty-one million, three hundred thirty-six thousand, one hundred thirty-three".