13311021330113 has 16 divisors (see below), whose sum is σ = 15126274316160. Its totient is φ = 11620820221824.

The previous prime is 13311021330077. The next prime is 13311021330127. The reversal of 13311021330113 is 31103312011331.

13311021330113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13311021330113 - 2¹² = 13311021326017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13311021630113) 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, 250077131 + ... + 250130352.

It is an arithmetic number, because the mean of its divisors is an integer number (945392144760).

Almost surely, 2^{13311021330113} is an apocalyptic number.

13311021330113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13311021330113 is a deficient number, since it is larger than the sum of its proper divisors (1815252986047).

13311021330113 is a wasteful number, since it uses less digits than its factorization.

13311021330113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500207608.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 13311021330113 its reverse (31103312011331), we get a palindrome (44414333341444).

The spelling of 13311021330113 in words is "thirteen trillion, three hundred eleven billion, twenty-one million, three hundred thirty thousand, one hundred thirteen".