133310313110133 has 80 divisors (see below), whose sum is σ = 204781105253824. Its totient is φ = 86363259713280.

The previous prime is 133310313110089. The next prime is 133310313110197. The reversal of 133310313110133 is 331011313013331.

133310313110133 is a `hidden beast` number, since 1 + 3 + 3 + 310 + 3 + 1 + 311 + 0 + 1 + 33 = 666.

It is not a de Polignac number, because 133310313110133 - 2⁸ = 133310313109877 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133310313110097 and 133310313110106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133310313110333) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9291852666 + ... + 9291867012.

Almost surely, 2^{133310313110133} is an apocalyptic number.

It is an amenable number.

133310313110133 is a deficient number, since it is larger than the sum of its proper divisors (71470792143691).

133310313110133 is a wasteful number, since it uses less digits than its factorization.

133310313110133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18064 (or 18055 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

Adding to 133310313110133 its reverse (331011313013331), we get a palindrome (464321626123464).

The spelling of 133310313110133 in words is "one hundred thirty-three trillion, three hundred ten billion, three hundred thirteen million, one hundred ten thousand, one hundred thirty-three".