102133201023233 has 2 divisors, whose sum is σ = 102133201023234. Its totient is φ = 102133201023232.

The previous prime is 102133201023101. The next prime is 102133201023239. The reversal of 102133201023233 is 332320102331201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75058172886544 + 27075028136689 = 8663612^2 + 5203367^2 .

It is an emirp because it is prime and its reverse (332320102331201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102133201023233 - 2¹⁸ = 102133200761089 is a prime.

It is not a weakly prime, because it can be changed into another prime (102133201023239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066600511616 + 51066600511617.

It is an arithmetic number, because the mean of its divisors is an integer number (51066600511617).

Almost surely, 2^{102133201023233} is an apocalyptic number.

It is an amenable number.

102133201023233 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133201023233 is an equidigital number, since it uses as much as digits as its factorization.

102133201023233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 102133201023233 its reverse (332320102331201), we get a palindrome (434453303354434).

The spelling of 102133201023233 in words is "one hundred two trillion, one hundred thirty-three billion, two hundred one million, twenty-three thousand, two hundred thirty-three".