13003001142003 has 64 divisors (see below), whose sum is σ = 19564820352000. Its totient is φ = 8534048548608.

The previous prime is 13003001141993. The next prime is 13003001142029. The reversal of 13003001142003 is 30024110030031.

It is not a de Polignac number, because 13003001142003 - 2²⁶ = 13002934033139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13003009142003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1474425928 + ... + 1474434746.

It is an arithmetic number, because the mean of its divisors is an integer number (305700318000).

Almost surely, 2^{13003001142003} is an apocalyptic number.

13003001142003 is a deficient number, since it is larger than the sum of its proper divisors (6561819209997).

13003001142003 is a wasteful number, since it uses less digits than its factorization.

13003001142003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11513 (or 11507 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13003001142003 its reverse (30024110030031), we get a palindrome (43027111172034).

The spelling of 13003001142003 in words is "thirteen trillion, three billion, one million, one hundred forty-two thousand, three".