11137512057713 has 2 divisors, whose sum is σ = 11137512057714. Its totient is φ = 11137512057712.

The previous prime is 11137512057629. The next prime is 11137512057719. The reversal of 11137512057713 is 31775021573111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10024968085729 + 1112543971984 = 3166223^2 + 1054772^2 .

It is an emirp because it is prime and its reverse (31775021573111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11137512057713 - 2²⁸ = 11137243622257 is a prime.

It is not a weakly prime, because it can be changed into another prime (11137512057719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5568756028856 + 5568756028857.

It is an arithmetic number, because the mean of its divisors is an integer number (5568756028857).

Almost surely, 2^{11137512057713} is an apocalyptic number.

It is an amenable number.

11137512057713 is a deficient number, since it is larger than the sum of its proper divisors (1).

11137512057713 is an equidigital number, since it uses as much as digits as its factorization.

11137512057713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 154350, while the sum is 44.

The spelling of 11137512057713 in words is "eleven trillion, one hundred thirty-seven billion, five hundred twelve million, fifty-seven thousand, seven hundred thirteen".