13105435013101 has 2 divisors, whose sum is σ = 13105435013102. Its totient is φ = 13105435013100.

The previous prime is 13105435013039. The next prime is 13105435013141. The reversal of 13105435013101 is 10131053450131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12220093275625 + 885341737476 = 3495725^2 + 940926^2 .

It is a cyclic number.

It is not a de Polignac number, because 13105435013101 - 2²⁷ = 13105300795373 is a prime.

It is a super-2 number, since 2×13105435013101² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13105435013101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13105435013141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6552717506550 + 6552717506551.

It is an arithmetic number, because the mean of its divisors is an integer number (6552717506551).

Almost surely, 2^{13105435013101} is an apocalyptic number.

It is an amenable number.

13105435013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13105435013101 is an equidigital number, since it uses as much as digits as its factorization.

13105435013101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2700, while the sum is 28.

Adding to 13105435013101 its reverse (10131053450131), we get a palindrome (23236488463232).

The spelling of 13105435013101 in words is "thirteen trillion, one hundred five billion, four hundred thirty-five million, thirteen thousand, one hundred one".