11111310013 has 8 divisors (see below), whose sum is σ = 11132865720. Its totient is φ = 11089774080.

The previous prime is 11111309999. The next prime is 11111310019. The reversal of 11111310013 is 31001311111.

It can be written as a sum of positive squares in 4 ways, for example, as 516107524 + 10595202489 = 22718^2 + 102933^2 .

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 11111310013 - 2⁵ = 11111309981 is a prime.

It is a super-2 number, since 2×11111310013² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11111309975 and 11111310002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111310019) 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, 1570981 + ... + 1578037.

It is an arithmetic number, because the mean of its divisors is an integer number (1391608215).

Almost surely, 2^11111310013 is an apocalyptic number.

It is an amenable number.

11111310013 is a deficient number, since it is larger than the sum of its proper divisors (21555707).

11111310013 is an equidigital number, since it uses as much as digits as its factorization.

11111310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9887.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 11111310013 its reverse (31001311111), we get a palindrome (42112621124).

It can be divided in two parts, 11111 and 310013, that multiplied together give a palindrome (3444554443).

The spelling of 11111310013 in words is "eleven billion, one hundred eleven million, three hundred ten thousand, thirteen".