133011120313332 has 18 divisors (see below), whose sum is σ = 336222554125458. Its totient is φ = 44337040104432.

The previous prime is 133011120313307. The next prime is 133011120313343. The reversal of 133011120313332 is 233313021110331.

133011120313332 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 1 + 1 + 12 + 0 + 313 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131837334417936 + 1173785895396 = 11482044^2 + 1083414^2 .

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 = 133011120313296 and 133011120313305.

It is a congruent number.

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, 1847376670983 + ... + 1847376671054.

Almost surely, 2^{133011120313332} is an apocalyptic number.

133011120313332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133011120313332 is an abundant number, since it is smaller than the sum of its proper divisors (203211433812126).

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

133011120313332 is a wasteful number, since it uses less digits than its factorization.

133011120313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694753342047 (or 3694753342042 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 133011120313332 its reverse (233313021110331), we get a palindrome (366324141423663).

The spelling of 133011120313332 in words is "one hundred thirty-three trillion, eleven billion, one hundred twenty million, three hundred thirteen thousand, three hundred thirty-two".