133066075131 has 80 divisors (see below), whose sum is σ = 220749767040. Its totient is φ = 79531917120.

The previous prime is 133066075123. The next prime is 133066075171. The reversal of 133066075131 is 131570660331.

It is a happy number.

133066075131 is a `hidden beast` number, since 1 + 3 + 30 + 6 + 607 + 5 + 13 + 1 = 666.

It is not a de Polignac number, because 133066075131 - 2³ = 133066075123 is a prime.

It is a super-2 number, since 2×133066075131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133066075171) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15801240 + ... + 15809658.

It is an arithmetic number, because the mean of its divisors is an integer number (2759372088).

Almost surely, 2^133066075131 is an apocalyptic number.

133066075131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133066075131 is a deficient number, since it is larger than the sum of its proper divisors (87683691909).

133066075131 is an frugal number, since it uses more digits than its factorization.

133066075131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8530 (or 8506 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 133066075131 in words is "one hundred thirty-three billion, sixty-six million, seventy-five thousand, one hundred thirty-one".