133321061088 has 144 divisors (see below), whose sum is σ = 401293947600. Its totient is φ = 41868472320.

The previous prime is 133321061039. The next prime is 133321061089. The reversal of 133321061088 is 880160123331.

133321061088 is a `hidden beast` number, since 1 + 3 + 3 + 32 + 1 + 0 + 610 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133321061089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 923128 + ... + 1057736.

It is an arithmetic number, because the mean of its divisors is an integer number (2786763525).

Almost surely, 2^133321061088 is an apocalyptic number.

133321061088 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 133321061088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200646973800).

133321061088 is an abundant number, since it is smaller than the sum of its proper divisors (267972886512).

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

133321061088 is a wasteful number, since it uses less digits than its factorization.

133321061088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134825 (or 134814 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 133321061088 in words is "one hundred thirty-three billion, three hundred twenty-one million, sixty-one thousand, eighty-eight".