123133232333001 has 144 divisors (see below), whose sum is σ = 198802032428160. Its totient is φ = 67602959424000.

The previous prime is 123133232332991. The next prime is 123133232333021. The reversal of 123133232333001 is 100333232331321.

It is not a de Polignac number, because 123133232333001 - 2²⁹ = 123132695462089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123133232333001.

It is not an unprimeable number, because it can be changed into a prime (123133232333021) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15374353885 + ... + 15374361893.

It is an arithmetic number, because the mean of its divisors is an integer number (1380569669640).

Almost surely, 2^{123133232333001} is an apocalyptic number.

123133232333001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123133232333001 is a deficient number, since it is larger than the sum of its proper divisors (75668800095159).

123133232333001 is a wasteful number, since it uses less digits than its factorization.

123133232333001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13196 (or 13166 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 123133232333001 its reverse (100333232331321), we get a palindrome (223466464664322).

The spelling of 123133232333001 in words is "one hundred twenty-three trillion, one hundred thirty-three billion, two hundred thirty-two million, three hundred thirty-three thousand, one".