123301354052133 has 24 divisors (see below), whose sum is σ = 181943167501056. Its totient is φ = 80429032101600.

The previous prime is 123301354052089. The next prime is 123301354052179. The reversal of 123301354052133 is 331250453103321.

123301354052133 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 0 + 1 + 35 + 405 + 213 + 3 = 666.

It is not a de Polignac number, because 123301354052133 - 2²⁶ = 123301286943269 is a prime.

It is a super-2 number, since 2×123301354052133² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123301354053133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40026178 + ... + 42996483.

It is an arithmetic number, because the mean of its divisors is an integer number (7580965312544).

Almost surely, 2^{123301354052133} is an apocalyptic number.

It is an amenable number.

123301354052133 is a deficient number, since it is larger than the sum of its proper divisors (58641813448923).

123301354052133 is a wasteful number, since it uses less digits than its factorization.

123301354052133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83026225 (or 83026222 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 123301354052133 in words is "one hundred twenty-three trillion, three hundred one billion, three hundred fifty-four million, fifty-two thousand, one hundred thirty-three".