102135133 has 16 divisors (see below), whose sum is σ = 112679424. Its totient is φ = 92171520.

The previous prime is 102135119. The next prime is 102135193. The reversal of 102135133 is 331531201.

It is a cyclic number.

It is not a de Polignac number, because 102135133 - 2⁹ = 102134621 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102135133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102135113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43516 + ... + 45802.

It is an arithmetic number, because the mean of its divisors is an integer number (7042464).

Almost surely, 2^102135133 is an apocalyptic number.

It is an amenable number.

102135133 is a deficient number, since it is larger than the sum of its proper divisors (10544291).

102135133 is a wasteful number, since it uses less digits than its factorization.

102135133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 102135133 is about 10106.1928044145. The cubic root of 102135133 is about 467.4391170107.

Adding to 102135133 its reverse (331531201), we get a palindrome (433666334).

The spelling of 102135133 in words is "one hundred two million, one hundred thirty-five thousand, one hundred thirty-three".