1313121212213 has 8 divisors (see below), whose sum is σ = 1324791010008. Its totient is φ = 1301452278784.

The previous prime is 1313121212177. The next prime is 1313121212239. The reversal of 1313121212213 is 3122121213131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 138329693329 + 1174791518884 = 371927^2 + 1083878^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1313121212213 - 2⁸ = 1313121211957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313121214213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3054695 + ... + 3457947.

It is an arithmetic number, because the mean of its divisors is an integer number (165598876251).

Almost surely, 2^{1313121212213} is an apocalyptic number.

It is an amenable number.

1313121212213 is a deficient number, since it is larger than the sum of its proper divisors (11669797795).

1313121212213 is a wasteful number, since it uses less digits than its factorization.

1313121212213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432183.

The product of its digits is 432, while the sum is 23.

Adding to 1313121212213 its reverse (3122121213131), we get a palindrome (4435242425344).

The spelling of 1313121212213 in words is "one trillion, three hundred thirteen billion, one hundred twenty-one million, two hundred twelve thousand, two hundred thirteen".