123323112100001 has 16 divisors (see below), whose sum is σ = 134664543974400. Its totient is φ = 112003396807680.

The previous prime is 123323112099991. The next prime is 123323112100057. The reversal of 123323112100001 is 100001211323321.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123323112100001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123323112600001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259911425 + ... + 260385473.

It is an arithmetic number, because the mean of its divisors is an integer number (8416533998400).

Almost surely, 2^{123323112100001} is an apocalyptic number.

123323112100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123323112100001 is a deficient number, since it is larger than the sum of its proper divisors (11341431874399).

123323112100001 is a wasteful number, since it uses less digits than its factorization.

123323112100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496904.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 123323112100001 its reverse (100001211323321), we get a palindrome (223324323423322).

The spelling of 123323112100001 in words is "one hundred twenty-three trillion, three hundred twenty-three billion, one hundred twelve million, one hundred thousand, one".