10005501006113 has 2 divisors, whose sum is σ = 10005501006114. Its totient is φ = 10005501006112.

The previous prime is 10005501006013. The next prime is 10005501006161. The reversal of 10005501006113 is 31160010550001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8732692842769 + 1272808163344 = 2955113^2 + 1128188^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005501006113 - 2²⁴ = 10005484228897 is a prime.

It is a super-2 number, since 2×10005501006113² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10005501006013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002750503056 + 5002750503057.

It is an arithmetic number, because the mean of its divisors is an integer number (5002750503057).

Almost surely, 2^{10005501006113} is an apocalyptic number.

It is an amenable number.

10005501006113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005501006113 is an equidigital number, since it uses as much as digits as its factorization.

10005501006113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 450, while the sum is 23.

Adding to 10005501006113 its reverse (31160010550001), we get a palindrome (41165511556114).

The spelling of 10005501006113 in words is "ten trillion, five billion, five hundred one million, six thousand, one hundred thirteen".