13105442535201 has 32 divisors (see below), whose sum is σ = 19609799639040. Its totient is φ = 8649563994000.

The previous prime is 13105442535197. The next prime is 13105442535221. The reversal of 13105442535201 is 10253524450131.

13105442535201 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 442 + 5 + 3 + 5 + 201 = 666.

It is not a de Polignac number, because 13105442535201 - 2² = 13105442535197 is a prime.

It is a super-2 number, since 2×13105442535201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13105442535221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8675776 + ... + 10073726.

It is an arithmetic number, because the mean of its divisors is an integer number (612806238720).

Almost surely, 2^{13105442535201} is an apocalyptic number.

It is an amenable number.

13105442535201 is a deficient number, since it is larger than the sum of its proper divisors (6504357103839).

13105442535201 is a wasteful number, since it uses less digits than its factorization.

13105442535201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401434 (or 1401428 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 13105442535201 its reverse (10253524450131), we get a palindrome (23358966985332).

The spelling of 13105442535201 in words is "thirteen trillion, one hundred five billion, four hundred forty-two million, five hundred thirty-five thousand, two hundred one".