13300122311311 has 16 divisors (see below), whose sum is σ = 14788035744768. Its totient is φ = 11858833386400.

The previous prime is 13300122311309. The next prime is 13300122311353. The reversal of 13300122311311 is 11311322100331.

It is not a de Polignac number, because 13300122311311 - 2¹ = 13300122311309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300152311311) 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, 2190595 + ... + 5603476.

It is an arithmetic number, because the mean of its divisors is an integer number (924252234048).

Almost surely, 2^{13300122311311} is an apocalyptic number.

13300122311311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13300122311311 is a deficient number, since it is larger than the sum of its proper divisors (1487913433457).

13300122311311 is a wasteful number, since it uses less digits than its factorization.

13300122311311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7797062.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13300122311311 its reverse (11311322100331), we get a palindrome (24611444411642).

The spelling of 13300122311311 in words is "thirteen trillion, three hundred billion, one hundred twenty-two million, three hundred eleven thousand, three hundred eleven".