13003020331311 has 16 divisors (see below), whose sum is σ = 18093739055616. Its totient is φ = 8290598427936.

The previous prime is 13003020331291. The next prime is 13003020331333. The reversal of 13003020331311 is 11313302030031.

It is not a de Polignac number, because 13003020331311 - 2¹¹ = 13003020329263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003020331361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12951835 + ... + 13919628.

It is an arithmetic number, because the mean of its divisors is an integer number (1130858690976).

Almost surely, 2^{13003020331311} is an apocalyptic number.

13003020331311 is a deficient number, since it is larger than the sum of its proper divisors (5090718724305).

13003020331311 is a wasteful number, since it uses less digits than its factorization.

13003020331311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26878502.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13003020331311 its reverse (11313302030031), we get a palindrome (24316322361342).

The spelling of 13003020331311 in words is "thirteen trillion, three billion, twenty million, three hundred thirty-one thousand, three hundred eleven".