133346643331 has 16 divisors (see below), whose sum is σ = 148538278368. Its totient is φ = 118690790400.

The previous prime is 133346643329. The next prime is 133346643379.

133346643331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 133346643331 - 2¹ = 133346643329 is a prime.

It is a super-3 number, since 3×133346643331³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133346643301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496050 + ... + 716071.

It is an arithmetic number, because the mean of its divisors is an integer number (9283642398).

Almost surely, 2^133346643331 is an apocalyptic number.

133346643331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133346643331 is a deficient number, since it is larger than the sum of its proper divisors (15191635037).

133346643331 is a wasteful number, since it uses less digits than its factorization.

133346643331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212342.

The product of its digits is 419904, while the sum is 40.

It can be divided in two parts, 133346 and 643331, that added together give a palindrome (776677).

The spelling of 133346643331 in words is "one hundred thirty-three billion, three hundred forty-six million, six hundred forty-three thousand, three hundred thirty-one".