102133002133 has 16 divisors (see below), whose sum is σ = 106378241200. Its totient is φ = 97967149056.

The previous prime is 102133002113. The next prime is 102133002151. The reversal of 102133002133 is 331200331201.

It can be written as a sum of positive squares in 8 ways, for example, as 63694654884 + 38438347249 = 252378^2 + 196057^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102133002133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102133002133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133002113) 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, 7061293 + ... + 7075741.

It is an arithmetic number, because the mean of its divisors is an integer number (6648640075).

Almost surely, 2^102133002133 is an apocalyptic number.

It is an amenable number.

102133002133 is a deficient number, since it is larger than the sum of its proper divisors (4245239067).

102133002133 is a wasteful number, since it uses less digits than its factorization.

102133002133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17176.

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

Adding to 102133002133 its reverse (331200331201), we get a palindrome (433333333334).

The spelling of 102133002133 in words is "one hundred two billion, one hundred thirty-three million, two thousand, one hundred thirty-three".