103313133100033 has 2 divisors, whose sum is σ = 103313133100034. Its totient is φ = 103313133100032.

The previous prime is 103313133099997. The next prime is 103313133100049. The reversal of 103313133100033 is 330001331313301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69967670750224 + 33345462349809 = 8364668^2 + 5774553^2 .

It is a cyclic number.

It is not a de Polignac number, because 103313133100033 - 2³³ = 103304543165441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103313133099980 and 103313133100007.

It is not a weakly prime, because it can be changed into another prime (103313133100433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51656566550016 + 51656566550017.

It is an arithmetic number, because the mean of its divisors is an integer number (51656566550017).

Almost surely, 2^{103313133100033} is an apocalyptic number.

It is an amenable number.

103313133100033 is a deficient number, since it is larger than the sum of its proper divisors (1).

103313133100033 is an equidigital number, since it uses as much as digits as its factorization.

103313133100033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 25.

Adding to 103313133100033 its reverse (330001331313301), we get a palindrome (433314464413334).

The spelling of 103313133100033 in words is "one hundred three trillion, three hundred thirteen billion, one hundred thirty-three million, one hundred thousand, thirty-three".