133100332201332 has 72 divisors (see below), whose sum is σ = 337130983644000. Its totient is φ = 44276726381760.

The previous prime is 133100332201283. The next prime is 133100332201393. The reversal of 133100332201332 is 233102233001331.

133100332201332 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 0 + 0 + 3 + 322 + 0 + 1 + 332 = 666.

It is a super-2 number, since 2×133100332201332² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133100332201296 and 133100332201305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 975933898 + ... + 976070270.

Almost surely, 2^{133100332201332} is an apocalyptic number.

133100332201332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133100332201332 is an abundant number, since it is smaller than the sum of its proper divisors (204030651442668).

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

133100332201332 is a wasteful number, since it uses less digits than its factorization.

133100332201332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191213 (or 191208 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133100332201332 its reverse (233102233001331), we get a palindrome (366202565202663).

The spelling of 133100332201332 in words is "one hundred thirty-three trillion, one hundred billion, three hundred thirty-two million, two hundred one thousand, three hundred thirty-two".