10101001107013 has 2 divisors, whose sum is σ = 10101001107014. Its totient is φ = 10101001107012.

The previous prime is 10101001106981. The next prime is 10101001107017. The reversal of 10101001107013 is 31070110010101.

10101001107013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10060962297604 + 40038809409 = 3171902^2 + 200097^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101001107013 - 2⁵ = 10101001106981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101001107017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050500553506 + 5050500553507.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500553507).

Almost surely, 2^{10101001107013} is an apocalyptic number.

It is an amenable number.

10101001107013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101001107013 is an equidigital number, since it uses as much as digits as its factorization.

10101001107013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 16.

Adding to 10101001107013 its reverse (31070110010101), we get a palindrome (41171111117114).

The spelling of 10101001107013 in words is "ten trillion, one hundred one billion, one million, one hundred seven thousand, thirteen".