133411123008 has 448 divisors, whose sum is σ = 419958316800. Its totient is φ = 41455411200.

The previous prime is 133411122913. The next prime is 133411123039. The reversal of 133411123008 is 800321114331.

133411123008 is a `hidden beast` number, since 1 + 3 + 341 + 1 + 12 + 300 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217636110 + ... + 217636722.

Almost surely, 2^133411123008 is an apocalyptic number.

133411123008 is a gapful number since it is divisible by the number (18) 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 133411123008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209979158400).

133411123008 is an abundant number, since it is smaller than the sum of its proper divisors (286547193792).

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

133411123008 is a wasteful number, since it uses less digits than its factorization.

133411123008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 133411123008 its reverse (800321114331), we get a palindrome (933732237339).

The spelling of 133411123008 in words is "one hundred thirty-three billion, four hundred eleven million, one hundred twenty-three thousand, eight".