3331331331333 has 16 divisors (see below), whose sum is σ = 4703104529280. Its totient is φ = 2090225540096.

The previous prime is 3331331331329. The next prime is 3331331331347.

3331331331333 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3331331331333 - 2² = 3331331331329 is a prime.

It is a super-2 number, since 2×3331331331333² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3331331331294 and 3331331331303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331331331533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5705416 + ... + 6262142.

It is an arithmetic number, because the mean of its divisors is an integer number (293944033080).

Almost surely, 2^{3331331331333} is an apocalyptic number.

It is an amenable number.

3331331331333 is a deficient number, since it is larger than the sum of its proper divisors (1371773197947).

3331331331333 is a wasteful number, since it uses less digits than its factorization.

3331331331333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674076.

The product of its digits is 59049, while the sum is 33.

The spelling of 3331331331333 in words is "three trillion, three hundred thirty-one billion, three hundred thirty-one million, three hundred thirty-one thousand, three hundred thirty-three".