102306133 has 2 divisors, whose sum is σ = 102306134. Its totient is φ = 102306132.

The previous prime is 102306109. The next prime is 102306137. The reversal of 102306133 is 331603201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99560484 + 2745649 = 9978^2 + 1657^2 .

It is a cyclic number.

It is not a de Polignac number, because 102306133 - 2¹³ = 102297941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102306133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102306137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51153066 + 51153067.

It is an arithmetic number, because the mean of its divisors is an integer number (51153067).

Almost surely, 2^102306133 is an apocalyptic number.

It is an amenable number.

102306133 is a deficient number, since it is larger than the sum of its proper divisors (1).

102306133 is an equidigital number, since it uses as much as digits as its factorization.

102306133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 102306133 is about 10114.6494254621. The cubic root of 102306133 is about 467.6998419258.

Adding to 102306133 its reverse (331603201), we get a palindrome (433909334).

The spelling of 102306133 in words is "one hundred two million, three hundred six thousand, one hundred thirty-three".