1111311111313 has 8 divisors (see below), whose sum is σ = 1213191056168. Its totient is φ = 1011773234304.

The previous prime is 1111311111293. The next prime is 1111311111343. The reversal of 1111311111313 is 3131111131111.

It can be written as a sum of positive squares in 4 ways, for example, as 272663597584 + 838647513729 = 522172^2 + 915777^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1111311111313 is a prime.

It is a super-2 number, since 2×1111311111313² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1111311111343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585515970 + ... + 585517867.

It is an arithmetic number, because the mean of its divisors is an integer number (151648882021).

Almost surely, 2^{1111311111313} is an apocalyptic number.

1111311111313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1111311111313 is a deficient number, since it is larger than the sum of its proper divisors (101879944855).

1111311111313 is a wasteful number, since it uses less digits than its factorization.

1111311111313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171033923.

The product of its digits is 27, while the sum is 19.

Adding to 1111311111313 its reverse (3131111131111), we get a palindrome (4242422242424).

The spelling of 1111311111313 in words is "one trillion, one hundred eleven billion, three hundred eleven million, one hundred eleven thousand, three hundred thirteen".