123313033020330 has 48 divisors (see below), whose sum is σ = 320614515532584. Its totient is φ = 32883410889600.

The previous prime is 123313033020311. The next prime is 123313033020337. The reversal of 123313033020330 is 33020330313321.

123313033020330 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 303 + 3 + 0 + 20 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106937956248561 + 16375076771769 = 10341081^2 + 4046613^2 .

It is a super-2 number, since 2×123313033020330² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123313033020294 and 123313033020303.

It is not an unprimeable number, because it can be changed into a prime (123313033020337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60378880 + ... + 62387780.

Almost surely, 2^{123313033020330} is an apocalyptic number.

123313033020330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123313033020330 is an abundant number, since it is smaller than the sum of its proper divisors (197301482512254).

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

123313033020330 is a wasteful number, since it uses less digits than its factorization.

123313033020330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690951 (or 2690948 counting only the distinct ones).

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

Adding to 123313033020330 its reverse (33020330313321), we get a palindrome (156333363333651).

The spelling of 123313033020330 in words is "one hundred twenty-three trillion, three hundred thirteen billion, thirty-three million, twenty thousand, three hundred thirty".