133033312300113 has 64 divisors (see below), whose sum is σ = 200515528407040. Its totient is φ = 87148681747200.

The previous prime is 133033312300079. The next prime is 133033312300117. The reversal of 133033312300113 is 311003213330331.

133033312300113 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 33 + 312 + 300 + 1 + 13 = 666.

It is not a de Polignac number, because 133033312300113 - 2²⁹ = 133032775429201 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 not an unprimeable number, because it can be changed into a prime (133033312300117) 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, 9138779031 + ... + 9138793587.

It is an arithmetic number, because the mean of its divisors is an integer number (3133055131360).

Almost surely, 2^{133033312300113} is an apocalyptic number.

It is an amenable number.

133033312300113 is a deficient number, since it is larger than the sum of its proper divisors (67482216106927).

133033312300113 is a wasteful number, since it uses less digits than its factorization.

133033312300113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19735 (or 19729 counting only the distinct ones).

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

Adding to 133033312300113 its reverse (311003213330331), we get a palindrome (444036525630444).

The spelling of 133033312300113 in words is "one hundred thirty-three trillion, thirty-three billion, three hundred twelve million, three hundred thousand, one hundred thirteen".