102133313120223 has 64 divisors (see below), whose sum is σ = 188658032640000. Its totient is φ = 53052461434080.

The previous prime is 102133313120191. The next prime is 102133313120239. The reversal of 102133313120223 is 322021313331201.

102133313120223 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 3 + 313 + 120 + 223 = 666.

It is not a de Polignac number, because 102133313120223 - 2⁵ = 102133313120191 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133313120323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27349290 + ... + 30858552.

It is an arithmetic number, because the mean of its divisors is an integer number (2947781760000).

Almost surely, 2^{102133313120223} is an apocalyptic number.

102133313120223 is a deficient number, since it is larger than the sum of its proper divisors (86524719519777).

102133313120223 is a wasteful number, since it uses less digits than its factorization.

102133313120223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523289 (or 3523283 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 102133313120223 its reverse (322021313331201), we get a palindrome (424154626451424).

The spelling of 102133313120223 in words is "one hundred two trillion, one hundred thirty-three billion, three hundred thirteen million, one hundred twenty thousand, two hundred twenty-three".