133330013120133 has 10 divisors (see below), whose sum is σ = 199171994907974. Its totient is φ = 88886675413368.

The previous prime is 133330013120123. The next prime is 133330013120173. The reversal of 133330013120133 is 331021310033331.

133330013120133 is a `hidden beast` number, since 1 + 3 + 3 + 330 + 0 + 1 + 312 + 0 + 13 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126842712427809 + 6487300692324 = 11262447^2 + 2547018^2 .

It is not a de Polignac number, because 133330013120133 - 2¹³ = 133330013111941 is a prime.

It is a super-2 number, since 2×133330013120133² (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 Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133330013120097 and 133330013120106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133330013120123) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 823024772266 + ... + 823024772427.

Almost surely, 2^{133330013120133} is an apocalyptic number.

It is an amenable number.

133330013120133 is a deficient number, since it is larger than the sum of its proper divisors (65841981787841).

133330013120133 is an equidigital number, since it uses as much as digits as its factorization.

133330013120133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646049544705 (or 1646049544696 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 133330013120133 its reverse (331021310033331), we get a palindrome (464351323153464).

The spelling of 133330013120133 in words is "one hundred thirty-three trillion, three hundred thirty billion, thirteen million, one hundred twenty thousand, one hundred thirty-three".