123000032331333 has 6 divisors (see below), whose sum is σ = 177666713367494. Its totient is φ = 82000021554216.

The previous prime is 123000032331317. The next prime is 123000032331343. The reversal of 123000032331333 is 333133230000321.

123000032331333 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 0 + 0 + 0 + 323 + 3 + 1 + 333 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88545973352769 + 34454058978564 = 9409887^2 + 5869758^2 .

It is not a de Polignac number, because 123000032331333 - 2⁴ = 123000032331317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123000032331297 and 123000032331306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123000032331343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6833335129510 + ... + 6833335129527.

Almost surely, 2^{123000032331333} is an apocalyptic number.

It is an amenable number.

123000032331333 is a deficient number, since it is larger than the sum of its proper divisors (54666681036161).

123000032331333 is a wasteful number, since it uses less digits than its factorization.

123000032331333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13666670259043 (or 13666670259040 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 123000032331333 its reverse (333133230000321), we get a palindrome (456133262331654).

It can be divided in two parts, 123000032 and 331333, that added together give a triangular number (123331365 = T₁₅₇₀₅).

The spelling of 123000032331333 in words is "one hundred twenty-three trillion, thirty-two million, three hundred thirty-one thousand, three hundred thirty-three".