123321302032033 has 32 divisors (see below), whose sum is σ = 142387745702400. Its totient is φ = 104619315626496.

The previous prime is 123321302032001. The next prime is 123321302032079. The reversal of 123321302032033 is 330230203123321.

It is a cyclic number.

It is not a de Polignac number, because 123321302032033 - 2⁵ = 123321302032001 is a prime.

It is a super-2 number, since 2×123321302032033² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123321302031992 and 123321302032010.

It is not an unprimeable number, because it can be changed into a prime (123321302032133) 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 in 31 ways as a sum of consecutive naturals, for example, 3697440885 + ... + 3697474237.

It is an arithmetic number, because the mean of its divisors is an integer number (4449617053200).

Almost surely, 2^{123321302032033} is an apocalyptic number.

It is an amenable number.

123321302032033 is a deficient number, since it is larger than the sum of its proper divisors (19066443670367).

123321302032033 is a wasteful number, since it uses less digits than its factorization.

123321302032033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38641.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 123321302032033 its reverse (330230203123321), we get a palindrome (453551505155354).

The spelling of 123321302032033 in words is "one hundred twenty-three trillion, three hundred twenty-one billion, three hundred two million, thirty-two thousand, thirty-three".