11331312213313 has 2 divisors, whose sum is σ = 11331312213314. Its totient is φ = 11331312213312.

The previous prime is 11331312213211. The next prime is 11331312213323. The reversal of 11331312213313 is 31331221313311.

It is a happy number.

11331312213313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11282827256064 + 48484957249 = 3358992^2 + 220193^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331312213313 - 2³⁷ = 11193873259841 is a prime.

It is a super-3 number, since 3×11331312213313³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (11331312213323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665656106656 + 5665656106657.

It is an arithmetic number, because the mean of its divisors is an integer number (5665656106657).

Almost surely, 2^{11331312213313} is an apocalyptic number.

It is an amenable number.

11331312213313 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331312213313 is an equidigital number, since it uses as much as digits as its factorization.

11331312213313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2916, while the sum is 28.

Adding to 11331312213313 its reverse (31331221313311), we get a palindrome (42662533526624).

The spelling of 11331312213313 in words is "eleven trillion, three hundred thirty-one billion, three hundred twelve million, two hundred thirteen thousand, three hundred thirteen".