133003123110 has 384 divisors, whose sum is σ = 421852354560. Its totient is φ = 28628812800.

The previous prime is 133003123093. The next prime is 133003123189. The reversal of 133003123110 is 11321300331.

It is a happy number.

133003123110 is a `hidden beast` number, since 13 + 30 + 0 + 312 + 311 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 136974925 + ... + 136975895.

It is an arithmetic number, because the mean of its divisors is an integer number (1098573840).

Almost surely, 2^133003123110 is an apocalyptic number.

133003123110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133003123110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210926177280).

133003123110 is an abundant number, since it is smaller than the sum of its proper divisors (288849231450).

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

133003123110 is a wasteful number, since it uses less digits than its factorization.

133003123110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133003123110 its reverse (11321300331), we get a palindrome (144324423441).

The spelling of 133003123110 in words is "one hundred thirty-three billion, three million, one hundred twenty-three thousand, one hundred ten".