3313100013133 has 8 divisors (see below), whose sum is σ = 3323321314040. Its totient is φ = 3302881021440.

The previous prime is 3313100013103. The next prime is 3313100013143.

3313100013133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 689467836964 + 2623632176169 = 830342^2 + 1619763^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3313100013133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313100013103) 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, 2318953 + ... + 3464641.

It is an arithmetic number, because the mean of its divisors is an integer number (415415164255).

Almost surely, 2^{3313100013133} is an apocalyptic number.

It is an amenable number.

3313100013133 is a deficient number, since it is larger than the sum of its proper divisors (10221300907).

3313100013133 is a wasteful number, since it uses less digits than its factorization.

3313100013133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154607.

The product of its (nonzero) digits is 729, while the sum is 22.

It can be divided in two parts, 33131000 and 13133, that added together give a palindrome (33144133).

The spelling of 3313100013133 in words is "three trillion, three hundred thirteen billion, one hundred million, thirteen thousand, one hundred thirty-three".