13321012013 has 4 divisors (see below), whose sum is σ = 13400778720. Its totient is φ = 13241245308.

The previous prime is 13321012009. The next prime is 13321012021. The reversal of 13321012013 is 31021012331.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31021012331 = 103 ⋅301174877.

It is a cyclic number.

It is not a de Polignac number, because 13321012013 - 2² = 13321012009 is a prime.

It is a super-2 number, since 2×13321012013² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13321011982 and 13321012000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321012213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39883103 + ... + 39883436.

It is an arithmetic number, because the mean of its divisors is an integer number (3350194680).

Almost surely, 2^13321012013 is an apocalyptic number.

It is an amenable number.

13321012013 is a deficient number, since it is larger than the sum of its proper divisors (79766707).

13321012013 is an equidigital number, since it uses as much as digits as its factorization.

13321012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79766706.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13321012013 its reverse (31021012331), we get a palindrome (44342024344).

The spelling of 13321012013 in words is "thirteen billion, three hundred twenty-one million, twelve thousand, thirteen".