103302133100249 has 2 divisors, whose sum is σ = 103302133100250. Its totient is φ = 103302133100248.

The previous prime is 103302133100197. The next prime is 103302133100251. The reversal of 103302133100249 is 942001331203301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100436876112400 + 2865256987849 = 10021820^2 + 1692707^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-103302133100249 is a prime.

It is a super-3 number, since 3×103302133100249³ (a number of 43 digits) contains 333 as substring.

Together with 103302133100251, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (103302133100279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51651066550124 + 51651066550125.

It is an arithmetic number, because the mean of its divisors is an integer number (51651066550125).

Almost surely, 2^{103302133100249} is an apocalyptic number.

It is an amenable number.

103302133100249 is a deficient number, since it is larger than the sum of its proper divisors (1).

103302133100249 is an equidigital number, since it uses as much as digits as its factorization.

103302133100249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 103302133100249 in words is "one hundred three trillion, three hundred two billion, one hundred thirty-three million, one hundred thousand, two hundred forty-nine".