133312313322101 has 8 divisors (see below), whose sum is σ = 141154577446680. Its totient is φ = 125470089568768.

The previous prime is 133312313322091. The next prime is 133312313322103. The reversal of 133312313322101 is 101223313213331.

It can be written as a sum of positive squares in 4 ways, for example, as 3017165526001 + 130295147796100 = 1736999^2 + 11414690^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133312313322101 - 2⁶ = 133312313322037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133312313322103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3158096 + ... + 16631241.

It is an arithmetic number, because the mean of its divisors is an integer number (17644322180835).

Almost surely, 2^{133312313322101} is an apocalyptic number.

It is an amenable number.

133312313322101 is a deficient number, since it is larger than the sum of its proper divisors (7842264124579).

133312313322101 is a wasteful number, since it uses less digits than its factorization.

133312313322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20185623.

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 133312313322101 its reverse (101223313213331), we get a palindrome (234535626535432).

The spelling of 133312313322101 in words is "one hundred thirty-three trillion, three hundred twelve billion, three hundred thirteen million, three hundred twenty-two thousand, one hundred one".