10100006013 has 4 divisors (see below), whose sum is σ = 13466674688. Its totient is φ = 6733337340.

The previous prime is 10100006011. The next prime is 10100006029. The reversal of 10100006013 is 31060000101.

10100006013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 not a de Polignac number, because 10100006013 - 2¹ = 10100006011 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100006013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100006011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1683334333 + ... + 1683334338.

It is an arithmetic number, because the mean of its divisors is an integer number (3366668672).

Almost surely, 2^10100006013 is an apocalyptic number.

It is an amenable number.

10100006013 is a deficient number, since it is larger than the sum of its proper divisors (3366668675).

10100006013 is an equidigital number, since it uses as much as digits as its factorization.

10100006013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366668674.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10100006013 its reverse (31060000101), we get a palindrome (41160006114).

The spelling of 10100006013 in words is "ten billion, one hundred million, six thousand, thirteen".