102414133 has 2 divisors, whose sum is σ = 102414134. Its totient is φ = 102414132.

The previous prime is 102414131. The next prime is 102414139. The reversal of 102414133 is 331414201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85710564 + 16703569 = 9258^2 + 4087^2 .

It is a cyclic number.

It is not a de Polignac number, because 102414133 - 2¹ = 102414131 is a prime.

Together with 102414131, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 102414133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102414131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51207066 + 51207067.

It is an arithmetic number, because the mean of its divisors is an integer number (51207067).

Almost surely, 2^102414133 is an apocalyptic number.

It is an amenable number.

102414133 is a deficient number, since it is larger than the sum of its proper divisors (1).

102414133 is an equidigital number, since it uses as much as digits as its factorization.

102414133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 102414133 is about 10119.9868082918. The cubic root of 102414133 is about 467.8643606357.

Adding to 102414133 its reverse (331414201), we get a palindrome (433828334).

The spelling of 102414133 in words is "one hundred two million, four hundred fourteen thousand, one hundred thirty-three".