3133313312213 has 6 divisors (see below), whose sum is σ = 3644874669366. Its totient is φ = 2685697124712.

The previous prime is 3133313312167. The next prime is 3133313312237. The reversal of 3133313312213 is 3122133133313.

It can be written as a sum of positive squares in only one way, i.e., 2672642971684 + 460670340529 = 1634822^2 + 678727^2 .

It is not a de Polignac number, because 3133313312213 - 2²² = 3133309117909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133313362213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31972584770 + ... + 31972584867.

It is an arithmetic number, because the mean of its divisors is an integer number (607479111561).

Almost surely, 2^{3133313312213} is an apocalyptic number.

It is an amenable number.

3133313312213 is a deficient number, since it is larger than the sum of its proper divisors (511561357153).

3133313312213 is an equidigital number, since it uses as much as digits as its factorization.

3133313312213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63945169651 (or 63945169644 counting only the distinct ones).

The product of its digits is 8748, while the sum is 29.

Adding to 3133313312213 its reverse (3122133133313), we get a palindrome (6255446445526).

The spelling of 3133313312213 in words is "three trillion, one hundred thirty-three billion, three hundred thirteen million, three hundred twelve thousand, two hundred thirteen".