133313027760 has 360 divisors, whose sum is σ = 496026585600. Its totient is φ = 32061173760.

The previous prime is 133313027759. The next prime is 133313027779. The reversal of 133313027760 is 67720313331.

It is a happy number.

133313027760 is a `hidden beast` number, since 13 + 3 + 313 + 0 + 277 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11058216 + ... + 11070264.

Almost surely, 2^133313027760 is an apocalyptic number.

133313027760 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 133313027760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248013292800).

133313027760 is an abundant number, since it is smaller than the sum of its proper divisors (362713557840).

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

133313027760 is a wasteful number, since it uses less digits than its factorization.

133313027760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12217 (or 12197 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 36.

The spelling of 133313027760 in words is "one hundred thirty-three billion, three hundred thirteen million, twenty-seven thousand, seven hundred sixty".