13021312012313 has 16 divisors (see below), whose sum is σ = 14210938391040. Its totient is φ = 11832664972800.

The previous prime is 13021312012309. The next prime is 13021312012339. The reversal of 13021312012313 is 31321021312031.

13021312012313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13021312012313 - 2² = 13021312012309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13021312012343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459794168 + ... + 459822486.

It is an arithmetic number, because the mean of its divisors is an integer number (888183649440).

Almost surely, 2^{13021312012313} is an apocalyptic number.

It is an amenable number.

13021312012313 is a deficient number, since it is larger than the sum of its proper divisors (1189626378727).

13021312012313 is a wasteful number, since it uses less digits than its factorization.

13021312012313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44128.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13021312012313 its reverse (31321021312031), we get a palindrome (44342333324344).

The spelling of 13021312012313 in words is "thirteen trillion, twenty-one billion, three hundred twelve million, twelve thousand, three hundred thirteen".