13105442522313 has 96 divisors (see below), whose sum is σ = 19510352409600. Its totient is φ = 8473729904640.

The previous prime is 13105442522309. The next prime is 13105442522317. The reversal of 13105442522313 is 31322524450131.

13105442522313 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 4 + 425 + 223 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (13105442522309) and next prime (13105442522317).

It is not a de Polignac number, because 13105442522313 - 2² = 13105442522309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13105442522317) 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, 17312341131 + ... + 17312341887.

It is an arithmetic number, because the mean of its divisors is an integer number (203232837600).

Almost surely, 2^{13105442522313} is an apocalyptic number.

It is an amenable number.

13105442522313 is a deficient number, since it is larger than the sum of its proper divisors (6404909887287).

13105442522313 is a wasteful number, since it uses less digits than its factorization.

13105442522313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 13105442522313 its reverse (31322524450131), we get a palindrome (44427966972444).

The spelling of 13105442522313 in words is "thirteen trillion, one hundred five billion, four hundred forty-two million, five hundred twenty-two thousand, three hundred thirteen".