13113013323311 has 48 divisors (see below), whose sum is σ = 14988860823552. Its totient is φ = 11376161596800.

The previous prime is 13113013323301. The next prime is 13113013323323. The reversal of 13113013323311 is 11332331031131.

It is not a de Polignac number, because 13113013323311 - 2¹⁰ = 13113013322287 is a prime.

It is a super-2 number, since 2×13113013323311² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113013323301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8842219976 + ... + 8842221458.

It is an arithmetic number, because the mean of its divisors is an integer number (312267933824).

Almost surely, 2^{13113013323311} is an apocalyptic number.

13113013323311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13113013323311 is a deficient number, since it is larger than the sum of its proper divisors (1875847500241).

13113013323311 is a wasteful number, since it uses less digits than its factorization.

13113013323311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 13113013323311 its reverse (11332331031131), we get a palindrome (24445344354442).

The spelling of 13113013323311 in words is "thirteen trillion, one hundred thirteen billion, thirteen million, three hundred twenty-three thousand, three hundred eleven".