123133133016191 has 2 divisors, whose sum is σ = 123133133016192. Its totient is φ = 123133133016190.

The previous prime is 123133133016143. The next prime is 123133133016259. The reversal of 123133133016191 is 191610331331321.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 123133133016191 - 2⁴⁶ = 52764388838527 is a prime.

It is a super-2 number, since 2×123133133016191² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123133133066191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61566566508095 + 61566566508096.

It is an arithmetic number, because the mean of its divisors is an integer number (61566566508096).

Almost surely, 2^{123133133016191} is an apocalyptic number.

123133133016191 is a deficient number, since it is larger than the sum of its proper divisors (1).

123133133016191 is an equidigital number, since it uses as much as digits as its factorization.

123133133016191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 38.

The spelling of 123133133016191 in words is "one hundred twenty-three trillion, one hundred thirty-three billion, one hundred thirty-three million, sixteen thousand, one hundred ninety-one".