133133001000111 has 64 divisors (see below), whose sum is σ = 225699891916800. Its totient is φ = 75978328416768.

The previous prime is 133133001000107. The next prime is 133133001000143. The reversal of 133133001000111 is 111000100331331.

133133001000111 is a `hidden beast` number, since 1 + 331 + 330 + 0 + 1 + 0 + 0 + 0 + 1 + 1 + 1 = 666.

It is not a de Polignac number, because 133133001000111 - 2² = 133133001000107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133133001000911) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 723563121 + ... + 723747093.

It is an arithmetic number, because the mean of its divisors is an integer number (3526560811200).

Almost surely, 2^{133133001000111} is an apocalyptic number.

133133001000111 is a deficient number, since it is larger than the sum of its proper divisors (92566890916689).

133133001000111 is a wasteful number, since it uses less digits than its factorization.

133133001000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188885 (or 188879 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 133133001000111 its reverse (111000100331331), we get a palindrome (244133101331442).

The spelling of 133133001000111 in words is "one hundred thirty-three trillion, one hundred thirty-three billion, one million, one hundred eleven", and thus it is an aban number.