3312131331213 has 12 divisors (see below), whose sum is σ = 4816298358300. Its totient is φ = 2193268173696.

The previous prime is 3312131331211. The next prime is 3312131331227. The reversal of 3312131331213 is 3121331312133.

3312131331213 is a `hidden beast` number, since 3 + 3 + 1 + 21 + 313 + 312 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1140201111204 + 2171930220009 = 1067802^2 + 1473747^2 .

It is not a de Polignac number, because 3312131331213 - 2¹ = 3312131331211 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3312131331211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1234946956 + ... + 1234949637.

It is an arithmetic number, because the mean of its divisors is an integer number (401358196525).

Almost surely, 2^{3312131331213} is an apocalyptic number.

It is an amenable number.

3312131331213 is a deficient number, since it is larger than the sum of its proper divisors (1504167027087).

3312131331213 is a wasteful number, since it uses less digits than its factorization.

3312131331213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469896748 (or 2469896745 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 3312131331213 its reverse (3121331312133), we get a palindrome (6433462643346).

The spelling of 3312131331213 in words is "three trillion, three hundred twelve billion, one hundred thirty-one million, three hundred thirty-one thousand, two hundred thirteen".