13321213013113 has 8 divisors (see below), whose sum is σ = 13377709448136. Its totient is φ = 13264726675200.

The previous prime is 13321213013099. The next prime is 13321213013117. The reversal of 13321213013113 is 31131031212331.

It can be written as a sum of positive squares in 4 ways, for example, as 2108338848144 + 11212874164969 = 1452012^2 + 3348563^2 .

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 13321213013113 - 2⁴¹ = 11122189757561 is a prime.

It is a super-2 number, since 2×13321213013113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13321213013117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125823 + ... + 5163163.

It is an arithmetic number, because the mean of its divisors is an integer number (1672213681017).

Almost surely, 2^{13321213013113} is an apocalyptic number.

It is an amenable number.

13321213013113 is a deficient number, since it is larger than the sum of its proper divisors (56496435023).

13321213013113 is a wasteful number, since it uses less digits than its factorization.

13321213013113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048555.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 13321213013113 its reverse (31131031212331), we get a palindrome (44452244225444).

The spelling of 13321213013113 in words is "thirteen trillion, three hundred twenty-one billion, two hundred thirteen million, thirteen thousand, one hundred thirteen".