10001100013 has 4 divisors (see below), whose sum is σ = 10079848960. Its totient is φ = 9922351068.

The previous prime is 10001100001. The next prime is 10001100019. The reversal of 10001100013 is 31000110001.

It is a happy number.

10001100013 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, and also an emirpimes, since its reverse is a distinct semiprime: 31000110001 = 7 ⋅4428587143.

It is a cyclic number.

It is not a de Polignac number, because 10001100013 - 2¹⁷ = 10000968941 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001099969 and 10001100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001100019) 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, 39374283 + ... + 39374536.

It is an arithmetic number, because the mean of its divisors is an integer number (2519962240).

Almost surely, 2^10001100013 is an apocalyptic number.

It is an amenable number.

10001100013 is a deficient number, since it is larger than the sum of its proper divisors (78748947).

10001100013 is an equidigital number, since it uses as much as digits as its factorization.

10001100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78748946.

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

Adding to 10001100013 its reverse (31000110001), we get a palindrome (41001210014).

It can be divided in two parts, 1000110001 and 3, that multiplied together give a palindrome (3000330003).

The spelling of 10001100013 in words is "ten billion, one million, one hundred thousand, thirteen".