10101001110013 has 4 divisors (see below), whose sum is σ = 11019273938208. Its totient is φ = 9182728281820.

The previous prime is 10101001110007. The next prime is 10101001110041. The reversal of 10101001110013 is 31001110010101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10101001110013 - 2⁵ = 10101001109981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101001110713) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 459136414081 + ... + 459136414102.

It is an arithmetic number, because the mean of its divisors is an integer number (2754818484552).

Almost surely, 2^{10101001110013} is an apocalyptic number.

It is an amenable number.

10101001110013 is a deficient number, since it is larger than the sum of its proper divisors (918272828195).

10101001110013 is an equidigital number, since it uses as much as digits as its factorization.

10101001110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918272828194.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 10101001110013 its reverse (31001110010101), we get a palindrome (41102111120114).

The spelling of 10101001110013 in words is "ten trillion, one hundred one billion, one million, one hundred ten thousand, thirteen".