133130311313301 has 16 divisors (see below), whose sum is σ = 197238455718720. Its totient is φ = 88749776677680.

The previous prime is 133130311313281. The next prime is 133130311313303. The reversal of 133130311313301 is 103313113031331.

133130311313301 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 0 + 311 + 313 + 30 + 1 = 666.

It is not a de Polignac number, because 133130311313301 - 2¹³ = 133130311305109 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133130311313303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103912575 + ... + 105185948.

It is an arithmetic number, because the mean of its divisors is an integer number (12327403482420).

Almost surely, 2^{133130311313301} is an apocalyptic number.

It is an amenable number.

133130311313301 is a deficient number, since it is larger than the sum of its proper divisors (64108144405419).

133130311313301 is a wasteful number, since it uses less digits than its factorization.

133130311313301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209122113 (or 209122107 counting only the distinct ones).

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

Adding to 133130311313301 its reverse (103313113031331), we get a palindrome (236443424344632).

The spelling of 133130311313301 in words is "one hundred thirty-three trillion, one hundred thirty billion, three hundred eleven million, three hundred thirteen thousand, three hundred one".