133113131323101 has 12 divisors (see below), whose sum is σ = 192686245775712. Its totient is φ = 88552061662536.

The previous prime is 133113131323091. The next prime is 133113131323147. The reversal of 133113131323101 is 101323131311331.

133113131323101 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 31 + 313 + 2 + 310 + 1 = 666.

It is not a de Polignac number, because 133113131323101 - 2¹⁰ = 133113131322077 is a prime.

It is a super-2 number, since 2×133113131323101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133113131323171) 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 11 ways as a sum of consecutive naturals, for example, 15835486081 + ... + 15835494486.

It is an arithmetic number, because the mean of its divisors is an integer number (16057187147976).

Almost surely, 2^{133113131323101} is an apocalyptic number.

It is an amenable number.

133113131323101 is a deficient number, since it is larger than the sum of its proper divisors (59573114452611).

133113131323101 is a wasteful number, since it uses less digits than its factorization.

133113131323101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31670981040 (or 31670981037 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 133113131323101 its reverse (101323131311331), we get a palindrome (234436262634432).

The spelling of 133113131323101 in words is "one hundred thirty-three trillion, one hundred thirteen billion, one hundred thirty-one million, three hundred twenty-three thousand, one hundred one".