123331101322032 has 120 divisors (see below), whose sum is σ = 353371267810704. Its totient is φ = 40132869783552.

The previous prime is 123331101321977. The next prime is 123331101322073. The reversal of 123331101322032 is 230223101133321.

123331101322032 is a `hidden beast` number, since 1 + 2 + 3 + 331 + 1 + 0 + 1 + 322 + 0 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 123331101321987 and 123331101322005.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6280528 + ... + 16914704.

Almost surely, 2^{123331101322032} is an apocalyptic number.

123331101322032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123331101322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176685633905352).

123331101322032 is an abundant number, since it is smaller than the sum of its proper divisors (230040166488672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123331101322032 is a wasteful number, since it uses less digits than its factorization.

123331101322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10636107 (or 10636098 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 123331101322032 its reverse (230223101133321), we get a palindrome (353554202455353).

The spelling of 123331101322032 in words is "one hundred twenty-three trillion, three hundred thirty-one billion, one hundred one million, three hundred twenty-two thousand, thirty-two".