133131311 has 8 divisors (see below), whose sum is σ = 137554560. Its totient is φ = 128768472.

The previous prime is 133131293. The next prime is 133131343. The reversal of 133131311 is 113131331.

133131311 is nontrivially palindromic in base 15.

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 133131311 - 2⁶ = 133131247 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133131311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133131371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10601 + ... + 19458.

It is an arithmetic number, because the mean of its divisors is an integer number (17194320).

Almost surely, 2^133131311 is an apocalyptic number.

133131311 is a deficient number, since it is larger than the sum of its proper divisors (4423249).

133131311 is a wasteful number, since it uses less digits than its factorization.

133131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30205.

The product of its digits is 81, while the sum is 17.

The square root of 133131311 is about 11538.2542440354. The cubic root of 133131311 is about 510.6148051391.

Adding to 133131311 its reverse (113131331), we get a palindrome (246262642).

The spelling of 133131311 in words is "one hundred thirty-three million, one hundred thirty-one thousand, three hundred eleven".