10013000101 has 8 divisors (see below), whose sum is σ = 10784866680. Its totient is φ = 9241367232.

The previous prime is 10013000069. The next prime is 10013000111. The reversal of 10013000101 is 10100031001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1024064001 + 8988936100 = 32001^2 + 94810^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10013000101 - 2⁵ = 10013000069 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 (10013000111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36255 + ... + 146083.

It is an arithmetic number, because the mean of its divisors is an integer number (1348108335).

Almost surely, 2^10013000101 is an apocalyptic number.

It is an amenable number.

10013000101 is a deficient number, since it is larger than the sum of its proper divisors (771866579).

10013000101 is a wasteful number, since it uses less digits than its factorization.

10013000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116855.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10013000101 its reverse (10100031001), we get a palindrome (20113031102).

The spelling of 10013000101 in words is "ten billion, thirteen million, one hundred one", and thus it is an aban number.