133312220310132 has 54 divisors (see below), whose sum is σ = 349926799356498. Its totient is φ = 44437406761296.

The previous prime is 133312220310131. The next prime is 133312220310151. The reversal of 133312220310132 is 231013022213331.

133312220310132 is a `hidden beast` number, since 1 + 3 + 3 + 312 + 2 + 2 + 0 + 310 + 1 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89835024121956 + 43477196188176 = 9478134^2 + 6593724^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133312220310096 and 133312220310105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133312220310131) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2539834683 + ... + 2539887170.

Almost surely, 2^{133312220310132} is an apocalyptic number.

133312220310132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133312220310132 is an abundant number, since it is smaller than the sum of its proper divisors (216614579046366).

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

133312220310132 is an frugal number, since it uses more digits than its factorization.

133312220310132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079721881 (or 5079721858 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 133312220310132 its reverse (231013022213331), we get a palindrome (364325242523463).

The spelling of 133312220310132 in words is "one hundred thirty-three trillion, three hundred twelve billion, two hundred twenty million, three hundred ten thousand, one hundred thirty-two".