123133110320 has 80 divisors (see below), whose sum is σ = 312732340992. Its totient is φ = 44715175680.

The previous prime is 123133110311. The next prime is 123133110341. The reversal of 123133110320 is 23011331321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 123133110292 and 123133110301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559679 + ... + 748001.

Almost surely, 2^123133110320 is an apocalyptic number.

123133110320 is a gapful number since it is divisible by the number (10) 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 123133110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156366170496).

123133110320 is an abundant number, since it is smaller than the sum of its proper divisors (189599230672).

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

123133110320 is a wasteful number, since it uses less digits than its factorization.

123133110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189090 (or 189084 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 123133110320 its reverse (23011331321), we get a palindrome (146144441641).

The spelling of 123133110320 in words is "one hundred twenty-three billion, one hundred thirty-three million, one hundred ten thousand, three hundred twenty".