133668866331 has 128 divisors (see below), whose sum is σ = 273071769600. Its totient is φ = 62364142080.

The previous prime is 133668866311. The next prime is 133668866333.

It is a happy number.

133668866331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133668866331 - 2⁶ = 133668866267 is a prime.

It is a super-2 number, since 2×133668866331² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (133668866333) 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 127 ways as a sum of consecutive naturals, for example, 933165 + ... + 1066833.

It is an arithmetic number, because the mean of its divisors is an integer number (2133373200).

Almost surely, 2^133668866331 is an apocalyptic number.

133668866331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133668866331 is an abundant number, since it is smaller than the sum of its proper divisors (139402903269).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133668866331 is a wasteful number, since it uses less digits than its factorization.

133668866331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133746 (or 133740 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

It can be divided in two parts, 133668 and 866331, that added together give a palindrome (999999).

The spelling of 133668866331 in words is "one hundred thirty-three billion, six hundred sixty-eight million, eight hundred sixty-six thousand, three hundred thirty-one".