133112233000332 has 48 divisors (see below), whose sum is σ = 351617219261280. Its totient is φ = 43533560476224.

The previous prime is 133112233000249. The next prime is 133112233000379. The reversal of 133112233000332 is 233000332211331.

133112233000332 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 2 + 23 + 300 + 0 + 332 = 666.

It is a super-2 number, since 2×133112233000332² (a number of 29 digits) contains 22 as substring.

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 = 133112233000296 and 133112233000305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11627547823 + ... + 11627559270.

It is an arithmetic number, because the mean of its divisors is an integer number (7325358734610).

Almost surely, 2^{133112233000332} is an apocalyptic number.

133112233000332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133112233000332 is an abundant number, since it is smaller than the sum of its proper divisors (218504986260948).

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

133112233000332 is a wasteful number, since it uses less digits than its factorization.

133112233000332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23255107159 (or 23255107151 counting only the distinct ones).

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

Adding to 133112233000332 its reverse (233000332211331), we get a palindrome (366112565211663).

The spelling of 133112233000332 in words is "one hundred thirty-three trillion, one hundred twelve billion, two hundred thirty-three million, three hundred thirty-two", and thus it is an aban number.