13011011102101 has 8 divisors (see below), whose sum is σ = 13047305820120. Its totient is φ = 12974765599488.

The previous prime is 13011011102087. The next prime is 13011011102161. The reversal of 13011011102101 is 10120111011031.

It can be written as a sum of positive squares in 4 ways, for example, as 4546554030225 + 8464457071876 = 2132265^2 + 2909374^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13011011102101 - 2¹¹ = 13011011100053 is a prime.

It is a super-2 number, since 2×13011011102101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13011011102161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11774346 + ... + 12831883.

It is an arithmetic number, because the mean of its divisors is an integer number (1630913227515).

Almost surely, 2^{13011011102101} is an apocalyptic number.

It is an amenable number.

13011011102101 is a deficient number, since it is larger than the sum of its proper divisors (36294718019).

13011011102101 is an equidigital number, since it uses as much as digits as its factorization.

13011011102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24607703.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 13011011102101 its reverse (10120111011031), we get a palindrome (23131122113132).

The spelling of 13011011102101 in words is "thirteen trillion, eleven billion, eleven million, one hundred two thousand, one hundred one".