13100344120311 has 48 divisors (see below), whose sum is σ = 20903616026496. Its totient is φ = 7271179078464.

The previous prime is 13100344120217. The next prime is 13100344120351. The reversal of 13100344120311 is 11302144300131.

It is a happy number.

It is not a de Polignac number, because 13100344120311 - 2¹⁰ = 13100344119287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100344120351) 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, 1141080 + ... + 5244306.

It is an arithmetic number, because the mean of its divisors is an integer number (435492000552).

Almost surely, 2^{13100344120311} is an apocalyptic number.

13100344120311 is a deficient number, since it is larger than the sum of its proper divisors (7803271906185).

13100344120311 is a wasteful number, since it uses less digits than its factorization.

13100344120311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103868 (or 4103861 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13100344120311 its reverse (11302144300131), we get a palindrome (24402488420442).

It can be divided in two parts, 1310034 and 4120311, that added together give a palindrome (5430345).

The spelling of 13100344120311 in words is "thirteen trillion, one hundred billion, three hundred forty-four million, one hundred twenty thousand, three hundred eleven".