10605500055013 has 2 divisors, whose sum is σ = 10605500055014. Its totient is φ = 10605500055012.

The previous prime is 10605500055011. The next prime is 10605500055041. The reversal of 10605500055013 is 31055000550601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9896699393604 + 708800661409 = 3145902^2 + 841903^2 .

It is an emirp because it is prime and its reverse (31055000550601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10605500055013 - 2¹ = 10605500055011 is a prime.

It is a super-2 number, since 2×10605500055013² (a number of 27 digits) contains 22 as substring.

Together with 10605500055011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10605500055011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5302750027506 + 5302750027507.

It is an arithmetic number, because the mean of its divisors is an integer number (5302750027507).

Almost surely, 2^{10605500055013} is an apocalyptic number.

It is an amenable number.

10605500055013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10605500055013 is an equidigital number, since it uses as much as digits as its factorization.

10605500055013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11250, while the sum is 31.

The spelling of 10605500055013 in words is "ten trillion, six hundred five billion, five hundred million, fifty-five thousand, thirteen".