11313131313 has 16 divisors (see below), whose sum is σ = 16591465152. Its totient is φ = 6856440800.

The previous prime is 11313131303. The next prime is 11313131317. The reversal of 11313131313 is 31313131311.

It is not a de Polignac number, because 11313131313 - 2⁵ = 11313131281 is a prime.

It is a super-2 number, since 2×11313131313² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11313131313.

It is not an unprimeable number, because it can be changed into a prime (11313131317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1412628 + ... + 1420613.

It is an arithmetic number, because the mean of its divisors is an integer number (1036966572).

Almost surely, 2^11313131313 is an apocalyptic number.

It is an amenable number.

11313131313 is a deficient number, since it is larger than the sum of its proper divisors (5278333839).

11313131313 is an equidigital number, since it uses as much as digits as its factorization.

11313131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833277 (or 2833255 counting only the distinct ones).

The product of its digits is 243, while the sum is 21.

Adding to 11313131313 its reverse (31313131311), we get a palindrome (42626262624).

It can be divided in two parts, 11 and 313131313, that multiplied together give a palindrome (3444444443).

The spelling of 11313131313 in words is "eleven billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred thirteen".