133313312311201 has 16 divisors (see below), whose sum is σ = 145604102611968. Its totient is φ = 121051171992400.

The previous prime is 133313312311061. The next prime is 133313312311211. The reversal of 133313312311201 is 102113213313331.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 133313312311201 - 2¹¹ = 133313312309153 is a prime.

It is a super-2 number, since 2×133313312311201² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133313312311201.

It is not an unprimeable number, because it can be changed into a prime (133313312311211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29829636 + ... + 34006378.

It is an arithmetic number, because the mean of its divisors is an integer number (9100256413248).

Almost surely, 2^{133313312311201} is an apocalyptic number.

133313312311201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133313312311201 is a deficient number, since it is larger than the sum of its proper divisors (12290790300767).

133313312311201 is a wasteful number, since it uses less digits than its factorization.

133313312311201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180172.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 133313312311201 its reverse (102113213313331), we get a palindrome (235426525624532).

The spelling of 133313312311201 in words is "one hundred thirty-three trillion, three hundred thirteen billion, three hundred twelve million, three hundred eleven thousand, two hundred one".