2013100012003 has 8 divisors (see below), whose sum is σ = 2064462776640. Its totient is φ = 1962092699520.

The previous prime is 2013100011943. The next prime is 2013100012043. The reversal of 2013100012003 is 3002100013102.

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 2013100012003 - 2³³ = 2004510077411 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013100012043) 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, 88851568 + ... + 88874221.

It is an arithmetic number, because the mean of its divisors is an integer number (258057847080).

Almost surely, 2^{2013100012003} is an apocalyptic number.

2013100012003 is a deficient number, since it is larger than the sum of its proper divisors (51362764637).

2013100012003 is a wasteful number, since it uses less digits than its factorization.

2013100012003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177726077.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 2013100012003 its reverse (3002100013102), we get a palindrome (5015200025105).

The spelling of 2013100012003 in words is "two trillion, thirteen billion, one hundred million, twelve thousand, three".