102133309 has 2 divisors, whose sum is σ = 102133310. Its totient is φ = 102133308.

The previous prime is 102133301. The next prime is 102133349. The reversal of 102133309 is 903331201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99400900 + 2732409 = 9970^2 + 1653^2 .

It is an emirp because it is prime and its reverse (903331201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102133309 - 2³ = 102133301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102133309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102133301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066654 + 51066655.

It is an arithmetic number, because the mean of its divisors is an integer number (51066655).

Almost surely, 2^102133309 is an apocalyptic number.

It is an amenable number.

102133309 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133309 is an equidigital number, since it uses as much as digits as its factorization.

102133309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 102133309 is about 10106.1025623135. The cubic root of 102133309 is about 467.4363343769.

The spelling of 102133309 in words is "one hundred two million, one hundred thirty-three thousand, three hundred nine".