13111356315321 has 96 divisors (see below), whose sum is σ = 21193416870912. Its totient is φ = 7742186686080.

The previous prime is 13111356315311. The next prime is 13111356315391. The reversal of 13111356315321 is 12351365311131.

13111356315321 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 13 + 5 + 6 + 315 + 321 = 666.

It is not a de Polignac number, because 13111356315321 - 2⁶ = 13111356315257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13111356315311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3618920716 + ... + 3618924338.

It is an arithmetic number, because the mean of its divisors is an integer number (220764759072).

Almost surely, 2^{13111356315321} is an apocalyptic number.

13111356315321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13111356315321 is a deficient number, since it is larger than the sum of its proper divisors (8082060555591).

13111356315321 is a wasteful number, since it uses less digits than its factorization.

13111356315321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563 (or 5560 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The spelling of 13111356315321 in words is "thirteen trillion, one hundred eleven billion, three hundred fifty-six million, three hundred fifteen thousand, three hundred twenty-one".