13210020313 has 32 divisors (see below), whose sum is σ = 16160256000. Its totient is φ = 10546848000.

The previous prime is 13210020301. The next prime is 13210020319. The reversal of 13210020313 is 31302001231.

13210020313 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 13210020313 - 2⁵ = 13210020281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13210020319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2634753 + ... + 2639761.

It is an arithmetic number, because the mean of its divisors is an integer number (505008000).

Almost surely, 2^13210020313 is an apocalyptic number.

It is an amenable number.

13210020313 is a deficient number, since it is larger than the sum of its proper divisors (2950235687).

13210020313 is a wasteful number, since it uses less digits than its factorization.

13210020313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5365.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13210020313 its reverse (31302001231), we get a palindrome (44512021544).

The spelling of 13210020313 in words is "thirteen billion, two hundred ten million, twenty thousand, three hundred thirteen".