10003013000101 has 8 divisors (see below), whose sum is σ = 10924023910464. Its totient is φ = 9083943105120.

The previous prime is 10003013000051. The next prime is 10003013000119. The reversal of 10003013000101 is 10100031030001.

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 10003013000101 - 2⁹ = 10003012999589 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 (10003013000131) 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 7 ways as a sum of consecutive naturals, for example, 485243065 + ... + 485263678.

It is an arithmetic number, because the mean of its divisors is an integer number (1365502988808).

Almost surely, 2^{10003013000101} is an apocalyptic number.

10003013000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10003013000101 is a deficient number, since it is larger than the sum of its proper divisors (921010910363).

10003013000101 is an equidigital number, since it uses as much as digits as its factorization.

10003013000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970507691.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10003013000101 its reverse (10100031030001), we get a palindrome (20103044030102).

It can be divided in two parts, 100030 and 13000101, that added together give a palindrome (13100131).

The spelling of 10003013000101 in words is "ten trillion, three billion, thirteen million, one hundred one", and thus it is an aban number.