133566665331 has 64 divisors (see below), whose sum is σ = 200391791616. Its totient is φ = 78453504000.

The previous prime is 133566665303. The next prime is 133566665363.

133566665331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133566665331 - 2¹¹ = 133566663283 is a prime.

It is a super-2 number, since 2×133566665331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133566665381) 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 63 ways as a sum of consecutive naturals, for example, 33331330 + ... + 33335336.

It is an arithmetic number, because the mean of its divisors is an integer number (3131121744).

Almost surely, 2^133566665331 is an apocalyptic number.

133566665331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133566665331 is a deficient number, since it is larger than the sum of its proper divisors (66825126285).

133566665331 is a wasteful number, since it uses less digits than its factorization.

133566665331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332.

The product of its digits is 2624400, while the sum is 48.

It can be divided in two parts, 133566 and 665331, that added together give a palindrome (798897).

The spelling of 133566665331 in words is "one hundred thirty-three billion, five hundred sixty-six million, six hundred sixty-five thousand, three hundred thirty-one".