32820135311 has 8 divisors (see below), whose sum is σ = 33335493744. Its totient is φ = 32307632640.

The previous prime is 32820135221. The next prime is 32820135319. The reversal of 32820135311 is 11353102823.

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 32820135311 - 2¹⁰ = 32820134287 is a prime.

It is a super-2 number, since 2×32820135311² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32820135319) 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, 690770 + ... + 736751.

It is an arithmetic number, because the mean of its divisors is an integer number (4166936718).

Almost surely, 2^32820135311 is an apocalyptic number.

32820135311 is a deficient number, since it is larger than the sum of its proper divisors (515358433).

32820135311 is a wasteful number, since it uses less digits than its factorization.

32820135311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427881.

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 32820135311 in words is "thirty-two billion, eight hundred twenty million, one hundred thirty-five thousand, three hundred eleven".