133123122918 has 64 divisors (see below), whose sum is σ = 309003793920. Its totient is φ = 42402086496.

The previous prime is 133123122911. The next prime is 133123122919. The reversal of 133123122918 is 819221321331.

It is a happy number.

133123122918 is a `hidden beast` number, since 1 + 3 + 312 + 312 + 29 + 1 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133123122911) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1184521 + ... + 1292027.

It is an arithmetic number, because the mean of its divisors is an integer number (4828184280).

Almost surely, 2^133123122918 is an apocalyptic number.

133123122918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133123122918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154501896960).

133123122918 is an abundant number, since it is smaller than the sum of its proper divisors (175880671002).

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

133123122918 is a wasteful number, since it uses less digits than its factorization.

133123122918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108538 (or 108532 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 133123122918 in words is "one hundred thirty-three billion, one hundred twenty-three million, one hundred twenty-two thousand, nine hundred eighteen".