133011300331121 has 8 divisors (see below), whose sum is σ = 133147465744680. Its totient is φ = 132875202549888.

The previous prime is 133011300331103. The next prime is 133011300331141. The reversal of 133011300331121 is 121133003110331.

It can be written as a sum of positive squares in 4 ways, for example, as 13063244004721 + 119948056326400 = 3614311^2 + 10952080^2 .

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 133011300331121 - 2⁴² = 128613253820017 is a prime.

It is a super-2 number, since 2×133011300331121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133011300331141) 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, 12972236 + ... + 20839901.

It is an arithmetic number, because the mean of its divisors is an integer number (16643433218085).

Almost surely, 2^{133011300331121} is an apocalyptic number.

It is an amenable number.

133011300331121 is a deficient number, since it is larger than the sum of its proper divisors (136165413559).

133011300331121 is a wasteful number, since it uses less digits than its factorization.

133011300331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33816163.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 133011300331121 its reverse (121133003110331), we get a palindrome (254144303441452).

The spelling of 133011300331121 in words is "one hundred thirty-three trillion, eleven billion, three hundred million, three hundred thirty-one thousand, one hundred twenty-one".