13310101211013 has 10 divisors (see below), whose sum is σ = 19882990698054. Its totient is φ = 8873400807288.

The previous prime is 13310101210997. The next prime is 13310101211027. The reversal of 13310101211013 is 31011210101331.

It can be written as a sum of positive squares in only one way, i.e., 13282219892484 + 27881318529 = 3644478^2 + 166977^2 .

It is not a de Polignac number, because 13310101211013 - 2⁴ = 13310101210997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310101211093) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82161118506 + ... + 82161118667.

Almost surely, 2^{13310101211013} is an apocalyptic number.

It is an amenable number.

13310101211013 is a deficient number, since it is larger than the sum of its proper divisors (6572889487041).

13310101211013 is an equidigital number, since it uses as much as digits as its factorization.

13310101211013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164322237185 (or 164322237176 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13310101211013 its reverse (31011210101331), we get a palindrome (44321311312344).

The spelling of 13310101211013 in words is "thirteen trillion, three hundred ten billion, one hundred one million, two hundred eleven thousand, thirteen".