1111111113313 has 2 divisors, whose sum is σ = 1111111113314. Its totient is φ = 1111111113312.

The previous prime is 1111111113121. The next prime is 1111111113361. The reversal of 1111111113313 is 3133111111111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 563382345744 + 547728767569 = 750588^2 + 740087^2 .

It is a cyclic number.

It is not a de Polignac number, because 1111111113313 - 2¹³ = 1111111105121 is a prime.

It is a super-2 number, since 2×1111111113313² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1111111113383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 555555556656 + 555555556657.

It is an arithmetic number, because the mean of its divisors is an integer number (555555556657).

Almost surely, 2^{1111111113313} is an apocalyptic number.

It is an amenable number.

1111111113313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1111111113313 is an equidigital number, since it uses as much as digits as its factorization.

1111111113313 is an evil number, because the sum of its binary digits is even.

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

Adding to 1111111113313 its reverse (3133111111111), we get a palindrome (4244222224424).

The spelling of 1111111113313 in words is "one trillion, one hundred eleven billion, one hundred eleven million, one hundred thirteen thousand, three hundred thirteen".