133122312012132 has 18 divisors (see below), whose sum is σ = 336503622030758. Its totient is φ = 44374104004032.

The previous prime is 133122312012121. The next prime is 133122312012143. The reversal of 133122312012132 is 231210213221331.

133122312012132 is a `hidden beast` number, since 1 + 3 + 3 + 12 + 231 + 201 + 213 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (133122312012121) and next prime (133122312012143).

It can be written as a sum of positive squares in only one way, i.e., 98885840786496 + 34236471225636 = 9944136^2 + 5851194^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 133122312012096 and 133122312012105.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1848921000133 + ... + 1848921000204.

Almost surely, 2^{133122312012132} is an apocalyptic number.

133122312012132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133122312012132 is an abundant number, since it is smaller than the sum of its proper divisors (203381310018626).

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

133122312012132 is a wasteful number, since it uses less digits than its factorization.

133122312012132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697842000347 (or 3697842000342 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 133122312012132 its reverse (231210213221331), we get a palindrome (364332525233463).

The spelling of 133122312012132 in words is "one hundred thirty-three trillion, one hundred twenty-two billion, three hundred twelve million, twelve thousand, one hundred thirty-two".