13003313131003 has 8 divisors (see below), whose sum is σ = 14127493369248. Its totient is φ = 11896836518784.

The previous prime is 13003313130961. The next prime is 13003313131037. The reversal of 13003313131003 is 30013131330031.

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 13003313131003 - 2⁹ = 13003313130491 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13003313131093) 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, 4425904975 + ... + 4425907912.

It is an arithmetic number, because the mean of its divisors is an integer number (1765936671156).

Almost surely, 2^{13003313131003} is an apocalyptic number.

13003313131003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13003313131003 is a deficient number, since it is larger than the sum of its proper divisors (1124180238245).

13003313131003 is a wasteful number, since it uses less digits than its factorization.

13003313131003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8851813013.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 13003313131003 its reverse (30013131330031), we get a palindrome (43016444461034).

The spelling of 13003313131003 in words is "thirteen trillion, three billion, three hundred thirteen million, one hundred thirty-one thousand, three".