133321312300101 has 16 divisors (see below), whose sum is σ = 178436785029120. Its totient is φ = 88543856879280.

The previous prime is 133321312300093. The next prime is 133321312300139. The reversal of 133321312300101 is 101003213123331.

It is not a de Polignac number, because 133321312300101 - 2³ = 133321312300093 is a prime.

It is a super-2 number, since 2×133321312300101² (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 (133321312301101) 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, 61389565 + ... + 63524178.

It is an arithmetic number, because the mean of its divisors is an integer number (11152299064320).

Almost surely, 2^{133321312300101} is an apocalyptic number.

It is an amenable number.

133321312300101 is a deficient number, since it is larger than the sum of its proper divisors (45115472729019).

133321312300101 is a wasteful number, since it uses less digits than its factorization.

133321312300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124915096.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 133321312300101 its reverse (101003213123331), we get a palindrome (234324525423432).

The spelling of 133321312300101 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, three hundred twelve million, three hundred thousand, one hundred one".